Article | 05-September-2021
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
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
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
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
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
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
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