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Article | 05-September-2021

A new count data model applied in the analysis of vaccine adverse events and insurance claims

The article presents a new probability distribution, created by compounding the Poisson distribution with the weighted exponential distribution. Important mathematical and statistical properties of the distribution have been derived and discussed. The paper describes the proposed model’s parameter estimation, performed by means of the maximum likelihood method. Finally, real data sets are analyzed to verify the suitability of the proposed distribution in modeling count data sets

Showkat Ahmad Dar, Anwar Hassan, Ahmad Para Bilal, Sameer Ahmad Wani

Statistics in Transition New Series, Volume 22 , ISSUE 3, 157–174

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 | 20-December-2020

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

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

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

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 | 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 | 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

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

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