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  • Statistics In Transition

 

Research Article | 27-May-2018

A NEW AND UNIFIED APPROACH IN GENERALIZING THE LINDLEY’S DISTRIBUTION WITH APPLICATIONS

This paper proposes a new family of continuous distributions with one extra shape parameter called the generalized Zeghdoudi distributions (GZD). We investigate the shapes of the density and hazard rate function. We derive explicit expressions for some of its mathematical quantities. Various statistical properties like stochastic ordering, moment method, maximum likelihood estimation, entropies and limiting distribution of extreme order statistics are established. We prove the flexibility of

Lahsen Bouchahed, Halim Zeghdoudi

Statistics in Transition New Series, Volume 19 , ISSUE 1, 61–74

Research Article | 01-June-2020

Beta transmuted Lomax distribution with applications

In this paper we propose and test a composite generalizer of the Lomax distribution .The genesis of the beta distribution and transmuted map is used to develop the so-called beta transmuted Lomax (BTL) distribution. The properties of the distribution are discussed and explicit expressions are derived for the moments, mean deviations, quantiles, distribution of order statistics and reliability. The maximum likelihood method is used for estimating the model parameters, and the finite sample

Ahmed Hurairah, Abdelhakim Alabid

Statistics in Transition New Series, Volume 21 , ISSUE 2, 13–34

Article | 20-December-2020

A new generalization of the Pareto distribution and its applications

This paper introduces a new generalization of the Pareto distribution using the MarshallOlkin generator and the method of alpha power transformation. This new model has several desirable properties appropriate for modelling right skewed data. The Authors demonstrate how the hazard rate function and moments are obtained. Moreover, an estimation for the new model parameters is provided, through the application of the maximum likelihood and maximum product spacings methods, as well as the Bayesian

Ehab M. Almetwally, Hanan A. Haj Ahmad

Statistics in Transition New Series, Volume 21 , ISSUE 5, 61–84

Article | 06-July-2017

TRANSMUTED KUMARASWAMY DISTRIBUTION

derived for the moments, moment generating function, entropy, mean deviation, Bonferroni and Lorenz curves, and formulated moments for order statistics. The 𝑇𝐾𝑤 distribution parameters are estimated by using the method of maximum likelihood. Monte Carlo simulation is performed in order to investigate the performance of MLEs. The flood data and HIV/ AIDS data applications illustrate the usefulness of the proposed model.

Muhammad Shuaib Khan, Robert King, Irene Lena Hudson

Statistics in Transition New Series, Volume 17 , ISSUE 2, 183–210

Article | 15-March-2019

EXTENDED EXPONENTIATED POWER LINDLEY DISTRIBUTION

In this study, we introduce a new model called the Extended Exponentiated Power Lindley distribution which extends the Lindley distribution and has increasing, bathtub and upside down shapes for the hazard rate function. It also includes the power Lindley distribution as a special case. Several statistical properties of the distribution are explored, such as the density, hazard rate, survival, quantile functions, and moments. Estimation using the maximum likelihood method and inference on a

V. Ranjbar, M. Alizadeh, G. G. Hademani

Statistics in Transition New Series, Volume 19 , ISSUE 4, 621–643

Research Article | 01-June-2020

A comparison study on a new five-parameter generalized Lindley distribution with its sub-models

Lindley distributions as special cases. Various structural properties of the new distribution are discussed and the size-biased and the length-biased are derived. A simulation study is conducted to examine the mean square error for the parameters by means of the method of maximum likelihood. Finally, simulation studies and some real-world data sets are used to illustrate its flexibility in terms of its location, scale and shape parameters.

Ramajeyam Tharshan, Pushpakanthie Wijekoon

Statistics in Transition New Series, Volume 21 , ISSUE 2, 89–117

Article | 20-September-2020

Generalised Odd Frechet Family of Distributions: Properties and Applications

A new distribution called Generalized Odd Fréchet (GOF) distribution is presented and its properties explored. Some structural properties of the proposed distribution, including the shapes of the hazard rate function, moments, conditional moments, moment generating function, skewness, and kurtosis are presented. Mean deviations, Lorenz and Bonferroni curves, Rényi entropy, and the distribution of order statistics are given. The maximum likelihood estimation technique is used to

Shahdie Marganpoor, Vahid Ranjbar, Morad Alizadeh, Kamel Abdollahnezhad

Statistics in Transition New Series, Volume 21 , ISSUE 3, 109–128

Research Article | 27-May-2018

CANONICAL CORRELATION ANALYSIS IN THE CASE OF MULTIVARIATE REPEATED MEASURES DATA

for maximum likelihood estimates of required parameters are also given.

Mirosław Krzyśko, Wojciech Łukaszonek, Waldemar Wołyński

Statistics in Transition New Series, Volume 19 , ISSUE 1, 75–85

Research Article | 27-May-2018

POWER ISHITA DISTRIBUTION AND ITS APPLICATION TO MODEL LIFETIME DATA

A study on two-parameter power Ishita distribution (PID), of which Ishita distribution introduced by Shanker and Shukla (2017 a) is a special case, has been carried out and its important statistical properties including shapes of the density, moments, skewness and kurtosis measures, hazard rate function, and stochastic ordering have been discussed. The maximum likelihood estimation has been discussed for estimating its parameters. An application of the distribution has been explained with a

Kamlesh Kumar Shukla, Rama Shanker

Statistics in Transition New Series, Volume 19 , ISSUE 1, 135–148

Research Communicate | 29-July-2018

ON A SURPRISING RESULT OF TWO-CANDIDATE ELECTION FORECAST BASED ON THE FIRST LEADERSHIP TIME

This is a simple but provocative note. Consider an election with two candidates and suppose that candidate A was the leader until counting n votes. How to use this information in predicting the final results of the election? According to the common belief the final number of votes for the leader should be a strictly increasing function of n. Assuming the votes are counted in random order we derive the Maximum Likelihood predictor of the final number of votes for the future winner and loser

Czeslaw Stępniak

Statistics in Transition New Series, Volume 19 , ISSUE 2, 351–357

Article | 22-January-2018

BAYESIAN ESTIMATION OF MEASLES VACCINATION COVERAGE UNDER RANKED SET SAMPLING

proposed RSS-based Bayes estimator is compared with that of the corresponding classical version estimator based on maximum likelihood principle. The proposed procedure is used to estimate measles vaccination coverage probability among the children of age group 12-23 months in India using the real-life epidemiological data from National Family Health Survey-III.

Radhakanta Das, Vivek Verma, Dilip C. Nath

Statistics in Transition New Series, Volume 18 , ISSUE 4, 589–608

Research Article | 04-September-2019

GENERALIZED PARETO DISTRIBUTION BASED ON GENERALIZED ORDER STATISTICS AND ASSOCIATED INFERENCE

In this paper, we have considered the generalized Pareto distribution. Various structural properties of the distribution are derived including (quantile function, explicit expressions for moments, mean deviation, Bonferroni and Lorenz curves and Renyi entropy). We have provided simple explicit expressions and recurrence relations for single and product moments of generalized order statistics from the generalized Pareto distribution. The method of maximum likelihood is adopted for estimating the

Mansoor Rashid Malik, Devendra Kumar

Statistics in Transition New Series, Volume 20 , ISSUE 3, 57–79

Article | 20-December-2020

The Gamma Kumaraswamy-G family of distributions: theory, inference and applications

following should be mentioned: the corresponding probability density function can have symmetrical, left-skewed, right-skewed and reversed-J shapes, while the corresponding hazard rate function can have (nearly) constant, increasing, decreasing, upside-down bathtub, and bathtub shapes. Subsequently, the inference on the gamma Kumaraswamy exponential model is performed. The method of maximum likelihood is applied to estimate the model parameters. In order to demonstrate the importance of the new model

Rana Muhammad Imran Arshad, Muhammad Hussain Tahir, Christophe Chesneau, Farrukh Jamal

Statistics in Transition New Series, Volume 21 , ISSUE 5, 17–40

Research Article | 24-August-2017

A THREE-PARAMETER WEIGHTED LINDLEY DISTRIBUTION AND ITS APPLICATIONS TO MODEL SURVIVAL TIME

of dispersion have been derived and discussed. The reliability properties, including hazard rate function and mean residual life function, have been discussed. The estimation of its parameters has been discussed using the maximum likelihood method and the applications of the distribution have been explained through some survival time data of a group of patients suffering from head and neck cancer, and the fit has been compared with a one-parameter Lindley distribution and a two-parameter weighted

Rama Shanker, Kamlesh Kumar Shukla, Amarendra Mishra

Statistics in Transition New Series, Volume 18 , ISSUE 2, 291–310

Article | 20-September-2020

Power Size Biased Two-Parameter Akash Distribution

In this paper, the two-parameter Akash distribution is generalized to size-biased twoparameter Akash distribution (SBTPAD). A further modification to SBTPAD is introduced, creating the power size-biased two-parameter Akash distribution (PSBTPAD). Several statistical properties of PSBTPAD distribution are proved. These properties include the following: moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis, the maximum likelihood estimation of the distribution

Khaldoon Alhyasat, Ibrahim Kamarulzaman, Amer Ibrahim Al-Omari, Mohd Aftar Abu Bakar

Statistics in Transition New Series, Volume 21 , ISSUE 3, 73–91

Article | 01-June-2020

Application of iterated filtering to stochastic volatility models based on non-Gaussian Ornstein-Uhlenbeck process

application of iterated filtering for parameter estimation of such models. Iterated filtering is a method for maximum likelihood inference based on a series of filtering operations, which provide a sequence of parameter estimates that converges to the maximum likelihood estimate. An application to S&P500 index data shows the model perform well and diagnostic plots for iterated filtering  ensure convergence iterated filtering to maximum likelihood estimates.  Empirical application is

Piotr Szczepocki

Statistics in Transition New Series, Volume 21 , ISSUE 2, 173–187

Article | 13-December-2019

LINEAR CHOLESKY DECOMPOSITION OF COVARIANCE MATRICES IN MIXED MODELS WITH CORRELATED RANDOM EFFECTS

, we developed a linear Cholesky decomposition of the random effects covariance matrix, providing a framework for inference that accounts for correlations induced by covariate(s) shared by both fixed and random effects design matrices, a circumstance leading to lack of independence between random errors and random effects. The proposed decomposition is particularly useful in parameter estimation using the maximum likelihood and restricted/residual maximum likelihood procedures.

Anasu Rabe, D. K. Shangodoyin, K. Thaga

Statistics in Transition New Series, Volume 20 , ISSUE 4, 59–70

Article | 15-March-2019

LINDLEY PARETO DISTRIBUTION

In this paper, we introduce a new Lindley Pareto distribution, which offers a more flexible model for modelling lifetime data. Some of its mathematical properties like density function, cumulative distribution, mode, mean, variance, and Shannon entropy are established. A simulation study is carried out to examine the bias and mean square error of the maximum likelihood estimators of the unknown parameters. Three real data sets are fitted to illustrate the importance and the flexibility of the

Halim Zeghdoudi, Lazri Nouara, Djabrane Yahia

Statistics in Transition New Series, Volume 19 , ISSUE 4, 671–692

Article | 20-September-2020

Poisson Weighted Ishita Distribution: Model for Analysis of Over-Dispersed Medical Count Data

A new over-dispersed discrete probability model is introduced, by compounding the Poisson distribution with the weighted Ishita distribution. The statistical properties of the newly introduced distribution have been derived and discussed. Parameter estimation has been done with the application of the maximum likelihood method of estimation, followed by the Monte Carlo simulation procedure to examine the suitability of the ML estimators. In order to verify the applicability of the proposed

Bilal Ahmad Para, Tariq Rashid Jan

Statistics in Transition New Series, Volume 21 , ISSUE 3, 171–184

Article | 21-July-2017

Sectonema caobangense sp. n. from Vietnam (Nematoda, Dorylaimida, Aporcelaimidae)

SERGIO ALVAREZ-ORTEGA, THI ANH DUONG NGUYEN, JOAQUI´N ABOLAFIA, MICHAEL BONKOWSKI, REYES PEN˜A-SANTIAGO

Journal of Nematology, Volume 48 , ISSUE 2, 95–103

research-article | 30-November-2019

Characterization of a population of Pelodera strongyloides (Nematoda: Rhabditidae) associated with the beetle Lucanus ibericus (Coleoptera: Lucanidae) from Georgia

transilluminator and photographed with a digital system. The newly obtained sequences were aligned together with publicly available homologous sequences of Pelodera isolates using the computer program MAFFT (Katoh and Standley, 2013). Phylogenetic trees were reconstructed under the maximum likelihood (ML) criterion as implemented in MEGA v. 7 (Tamura et al., 2013). ML analysis was performed under a general time reversible and a gamma-shaped distribution (GTR + G) model for the 28S rRNA D2 to D3 domains, ITS

O. Gorgadze, A. Troccoli, E. Fanelli, E. Tarasco, F. De Luca

Journal of Nematology, Volume 52 , 1–12

Article | 20-September-2020

Statistical Properties and Estimation of Power-Transmuted Inverse Rayleigh Distribution

Amal S. Hassan, Salwa M. Assar, Ahmed M. Abdelghaffar

Statistics in Transition New Series, Volume 21 , ISSUE 3, 93–107

Article | 03-July-2017

THE APPLICATION OF BŰHLMANN-STRAUB MODEL TO THE ESTIMATION OF NET PREMIUM RATES DEPENDING ON THE AGE OF THE INSURED IN THE MOTOR THIRD LIABILITY INSURANCE

individuals created by the age of the insured. For the premium estimation, one of the maximum likelihood models, called the Bűhlmann-Straub model, was used.

Anna Szymańska

Statistics in Transition New Series, Volume 18 , ISSUE 1, 151–165

research-article | 30-November-2018

Morpho-molecular characterization of Colombian and Brazilian populations of Rotylenchulus associated with Musa spp

alignment based on the Akaike information criterion corrected for small sample sizes (Posada, 2008). Maximum likelihood (ML) and Bayesian inference (BI) were used to estimate phylogenies for the D2-D3 and COI regions. For ML, 250 bootstraps were used and the general time reversible model with allowance for a gamma distribution of rate variation (GTR + Γ) in RaxML v8 (Stamatakis, 2014). Inferred phylogenies by BI (MrBayes v3.2.6, Ronquist et al., 2012), used the general time reversible model with

Donald Riascos-Ortiz, Ana Teresa Mosquera-Espinosa, Francia Varón De Agudelo, Claudio Marcelo Gonçalves de Oliveira, Jaime Eduardo Muñoz-Flórez

Journal of Nematology, Volume 51 , 1–13

Article | 04-December-2017

A New Species of the Rare Genus Anguillonema Fuchs, 1938 (Nematoda: Hexatylina, Sphaerularioidea) with Its Molecular Phylogenetic Study

MAHYAR MOBASSERI, MAJID PEDRAM, EBRAHIM POURJAM

Journal of Nematology, Volume 49 , ISSUE 3, 286–294

Article | 22-July-2019

STATISTICAL INFERENCE OF EXPONENTIAL RECORD DATA UNDER KULLBACK-LEIBLER DIVERGENCE MEASURE

Based on one parameter exponential record data, we conduct statistical inferences (maximum likelihood estimator and Bayesian estimator) for the suggested model parameter. Our second aim is to predict the future (unobserved) records and to construct their corresponding prediction intervals based on observed set of records. In the estimation and prediction processes, we consider the square error loss and the Kullback-Leibler loss functions. Numerical simulations were conducted to evaluate the

Raed r. . Abu Awwad

Statistics in Transition New Series, Volume 20 , ISSUE 2, 1–14

Article | 20-September-2020

A New Quasi Sujatha Distribution

are also analysed. The method of moments and the method of maximum likelihood estimations is discussed for estimating parameters of the proposed distribution. A numerical example is presented to test its goodness of fit, which is then compared with other one-parameter and two-parameter lifetime distributions.

Rama Shanker, Kamlesh Kumar Shukla

Statistics in Transition New Series, Volume 21 , ISSUE 3, 53–71

Research Article | 03-September-2018

Description of Longidorus azarbaijanensis n. sp. (Dorylaimida: Longidoridae) from Iran

Farshad Gharibzadeh, Ebrahim Pourjam, Majid Pedram

Journal of Nematology, Volume 50 , ISSUE 2, 207–218

Article | 06-July-2017

SUJATHA DISTRIBUTION AND ITS APPLICATIONS

, stochastic ordering, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability have been discussed. Estimation of its parameter has been discussed using the method of maximum likelihood and the method of moments. The applications and goodness of fit of the distribution have been discussed with three real lifetime data sets and the fit has been compared with one-parameter lifetime distributions including Akash, Shanker, Lindley and exponential distributions.

Rama Shanker

Statistics in Transition New Series, Volume 17 , ISSUE 3, 391–410

Research Article | 13-December-2018

DISCRIMINANT COORDINATES ANALYSIS IN THE CASE OF MULTIVARIATE REPEATED MEASURES DATA

Mirosław Krzyśko, Wojciech Łukaszonek, Waldemar Wołyński

Statistics in Transition New Series, Volume 19 , ISSUE 3, 495–506

Article | 03-December-2017

An 18S rDNA Perspective on the Classification of Criconematoidea

In the nematode family Criconematidae, a taxonomy primarily based on cuticle characters has created classifications that are notoriously volatile. Molecular characters may lead to their stabilization. A phylogenetic tree of Criconematoidea was constructed using 166 new near full-length 18S rDNA sequences and 58 sequences from GenBank. Bayesian and maximum likelihood (ML) analyses produced trees with similar topologies. Major features include a strongly supported clade that includes

THOMAS POWERS, TIMOTHY HARRIS, REBECCA HIGGINS, PETER MULLIN, KIRSTEN POWERS

Journal of Nematology, Volume 49 , ISSUE 3, 236–244

Research Article | 17-October-2018

Characterization of Meloidogyne indica (Nematoda: Meloidogynidae) Parasitizing Neem in India, with a Molecular Phylogeny of the Species

juveniles, males and females were carried out by light compound and scanning electron microscopy. Gross morphology and measurements were found consistent with the original description of M. indica infecting citrus by Whitehead (1968). The neem population was found to infect and reproduce on citrus. Additionally, evolutionary relationship was deduced by Maximum likelihood method using ITS rRNA, D2D3 expansion segment of 28S rRNA and mitochondrial COI sequences. Phylogenetic analyses based on these

Victor Phani, Satyapal Bishnoi, Amita Sharma, Keith G. Davies, Uma Rao

Journal of Nematology, Volume 50 , ISSUE 3, 387–398

Research Article | 17-October-2018

Discovery and Identification of Meloidogyne Species Using COI DNA Barcoding

DNA barcoding with a new cytochrome oxidase c subunit 1 primer set generated a 721 to 724 bp fragment used for the identification of 322 Meloidogyne specimens, including 205 new sequences combined with 117 from GenBank. A maximum likelihood analysis grouped the specimens into 19 well-supported clades and four single-specimen lineages. The “major” tropical apomictic species (Meloidogyne arenaria, Meloidogyne incognita, Meloidogyne javanica) were not discriminated by this barcode although some

Thomas Powers, Timothy Harris, Rebecca Higgins, Peter Mullin, Kirsten Powers

Journal of Nematology, Volume 50 , ISSUE 3, 399–412

research-article | 24-April-2019

DNA barcoding evidence for the North American presence of alfalfa cyst nematode, Heterodera medicaginis

rule consensus tree. ITS1 and COI phylogenetic trees were constructed under maximum likelihood (ML) criteria in MEGA version 6. Sequences were edited using CodonCode Aligner version 8.0.1 (http://www.codoncode.com/) and aligned using MUSCLE within MEGA version 6 (Tamura et al., 2013). The gap opening penalty was set at −400 with a gap extension penalty of −200. For the COI tree, the General Time Reversible Model with Gamma distributed rates with Invariant sites (GTR + G + I) was determined to be

Thomas Powers, Andrea Skantar, Tim Harris, Rebecca Higgins, Peter Mullin, Saad Hafez, Zafar Handoo, Tim Todd, Kirsten Powers

Journal of Nematology, Volume 51 , 1–17

research-article | 24-April-2020

First report of molecular characterization and phylogeny of Trichuris fossor Hall, 1916 (Nematoda: Trichuridae)

invariant sites and a gamma distribution was the best fit substitution model for this data based on Bayesian information criterion. An evolutionary history was inferred based on this model using the maximum likelihood (ML) method and a consensus tree was generated using 1,000 bootstrapping replicates in MEGA. The Bayesian inference (BI) analysis was prepared in BEAUti v. 2.6.0 (Bouckaert et al., 2019) and performed in BEAST2 v. 2.6.0 (Bouckaert et al., 2019). The analysis used the HKY substitution model

Malorri R. Hughes, Deborah A. Duffield, Dana K. Howe, Dee R. Denver

Journal of Nematology, Volume 52 , 1–6

Article | 20-December-2020

A Bayesian analysis of complete multiple breaks in a panel autoregressive (CMB-PAR(1)) time series model

panel autoregressive model with multiple breaks present in all parameters, i.e. in the autoregressive coefficient and mean and error variance, which is a generalisation of various sub-models. The Bayesian approach is applied to estimate the model parameters and to obtain the highest posterior density interval. Strong evidence is observed to support the Bayes estimator and then it is compared with the maximum likelihood estimator. A simulation experiment is conducted and an empirical application on

Varun Agiwal, Jitendra Kumar, Dahud Kehinde Shangodoyin

Statistics in Transition New Series, Volume 21 , ISSUE 5, 133–149

research-article | 30-November-2020

Genetic variation within a species of parasitic nematode, Skrjabingylus chitwoodorum, in skunks

submitted sequences to the NIH GenBank database (accession numbers MT454072-MT454110). Phylogenetic analysis among species of Skrjabingylus was conducted with MEGA X (Kumar et al., 2018) using the gene sequences of S. chitwoodorum that we generated and two other species of Skrjabingylus were downloaded from GenBank, S. petrowi (KP724692-KP724694) and S. nasicola (KP724695-KP724696). A phylogenetic tree was created on MEGA X using Maximum Likelihood criteria and the best-fitting DNA model, Hasegawa

Allie N. Denham, Malorri R. Hughes, Robert C. Dowler, Nicholas J. Negovetich, Loren K. Ammerman

Journal of Nematology, Volume 53 , 1–8

Research Article | 17-October-2018

Morphological and Molecular Characterization of Labrys filiformis n. sp. (Rhabditida: Tylenchidae) from Iran

duct, offset spermatheca filled with small spheroid sperm cells, 106 to 127 µm long elongate-conoid tail with filiform distal region and finely rounded tip. Molecular phylogenetic analyses were performed using a near-full length fragment of the 18S rDNA and the D2–D3 expansion segments of the 28S rDNA using Bayesian inference and maximum likelihood methods. In the inferred phylogenetic tree with 18S rDNA, the new species has a close affinity with several isolates of the type species, Labrys

Yousef Panahandeh, Joaquín Abolafia, Ebrahim Pourjam, Robin M. Giblin-Davis, Farahnaz Jahanshahi Afshar, Majid Pedram

Journal of Nematology, Volume 50 , ISSUE 3, 343–354

research-article | 30-November-2018

A COI DNA barcoding survey of Pratylenchus species in the Great Plains Region of North America

distribution (G) and proportion of invariable sites (I). The substitution model (GTR + G + I) was used for maximum-likelihood analysis with 200 bootstrap replications using software MEGA 7 and for Bayesian inference analysis (BI) using the software MrBayes 3.1.2 (Huelsenbeck and Ronquist, 2001). The COI haplotype data set was reduced by removal of redundant sequences using software Jalview.2.10 (Waterhouse et al., 2009). Species delimitation/delineation Molecular species delimitation was assessed using

Mehmet Ozbayrak, Tim Todd, Timothy Harris, Rebecca Higgins, Kirsten Powers, Peter Mullin, Lisa Sutton, Thomas Powers

Journal of Nematology, Volume 51 , 1–21

research-article | 30-November-2018

Meloidogyne aegracyperi n. sp. (Nematoda: Meloidogynidae), a root-knot nematode parasitizing yellow and purple nutsedge in New Mexico

by Genewiz Inc. (South Plainfield, NJ). Sequence editing, assembly, and analysis were performed using the integrated sequence analysis package, Genious 9.0.2 (Kearse et al., 2012) with the MAFFT aligner being used to generate multiple sequence alignments. Maximum likelihood phylogenetic trees were generated using Mega 6.06 with default parameters and 500× bootstrapping (Tamura et al., 2013). Table 1. Primers used to compare M. aegracyperi n. sp. with its closest relatives. Primer

J. D. Eisenback, L. A. Holland, J. Schroeder, S. H. Thomas, J. M. Beacham, S. F. Hanson, V. S. Paes-Takahashi, P. Vieira

journal of nematology, Volume 51 , 1–16

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