Research Article | 27-May-2018
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
Article | 20-September-2020
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
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
Article | 20-September-2020
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
Research Article | 08-December-2021
Nesreen M. Al-Olaimat,
Husam A. Bayoud,
Mohammad Z. Raqab
Statistics in Transition New Series, Volume 22 , ISSUE 4, 153–170
Article | 06-July-2017
Muhammad Shuaib Khan,
Robert King,
Irene Lena Hudson
Statistics in Transition New Series, Volume 17 , ISSUE 2, 183–210
Research Article | 01-June-2020
Ahmed Hurairah,
Abdelhakim Alabid
Statistics in Transition New Series, Volume 21 , ISSUE 2, 13–34
Research Article | 01-June-2020
Ramajeyam Tharshan,
Pushpakanthie Wijekoon
Statistics in Transition New Series, Volume 21 , ISSUE 2, 89–117
Article | 15-March-2019
V. Ranjbar,
M. Alizadeh,
G. G. Hademani
Statistics in Transition New Series, Volume 19 , ISSUE 4, 621–643
Research Article | 08-December-2021
The paper focuses on type II Topp-Leone Frechet distribution. Its properties including hazard rate function, reverse hazard rate function, Mills ratio, quantile function and order statistics have been studied. The maximum likelihood estimation used for estimating the parameters of the proposed distribution has been explained and expressions for the Fisher information matrix and confidence intervals have been provided. The paper discusses the applications of the distribution for modeling several
Rama Shanker,
Umme Habibah Rahman
Statistics in Transition New Series, Volume 22 , ISSUE 4, 139–152
Article | 05-September-2021
Showkat Ahmad Dar,
Anwar Hassan,
Ahmad Para Bilal,
Sameer Ahmad Wani
Statistics in Transition New Series, Volume 22 , ISSUE 3, 157–174
Article | 05-September-2021
In this article, a new reciprocal Rayleigh extension called the Xgamma reciprocal Rayleigh model is defined and studied. The relevant statistical properties are derived, and the useful results related to the convexity and concavity are addressed. We discussed the estimation of the parameters using different estimation methods such as the maximum likelihood estimation method, the ordinary least squares estimation method, the weighted least squares estimation method, the Cramer-Von-Mises
Haitham M. Yousof,
M. Masoom Ali,
Hafida Goual,
Mohamed Ibrahim
Statistics in Transition New Series, Volume 22 , ISSUE 3, 99–121
Research Article | 08-December-2021
residual function, median, moment gen erating function, skewness, kurtosis, coefficient of variation, and index of dispersion, were derived. The estimation of the proposed distribution parameter was based on the maximum likelihood estimation method. The real-life applications of the distribution were illustrated using two real lifetime negatively and positively skewed data sets. The new distribution pro vides a better fit than the Pranav, exponential, and Lindley distributions for the data sets. The
Friday Ikechukwu Agu,
Joseph Thomas Eghwerido
Statistics in Transition New Series, Volume 22 , ISSUE 4, 59–76
Research Article | 04-September-2019
Mansoor Rashid Malik,
Devendra Kumar
Statistics in Transition New Series, Volume 20 , ISSUE 3, 57–79
Research Article | 24-August-2017
Rama Shanker,
Kamlesh Kumar Shukla,
Amarendra Mishra
Statistics in Transition New Series, Volume 18 , ISSUE 2, 291–310
Research Article | 08-December-2021
Jagdish Saran,
Narinder Pushkarna,
Shikha Sehgal
Statistics in Transition New Series, Volume 22 , ISSUE 4, 191–212