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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

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

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

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

Research Article | 08-December-2021

Record data from Kies distribution and related statistical inferences

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

TRANSMUTED KUMARASWAMY DISTRIBUTION

Muhammad Shuaib Khan, Robert King, Irene Lena Hudson

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

Research Article | 01-June-2020

Beta transmuted Lomax distribution with applications

Ahmed Hurairah, Abdelhakim Alabid

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

Research Article | 01-June-2020

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

Ramajeyam Tharshan, Pushpakanthie Wijekoon

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

Article | 15-March-2019

EXTENDED EXPONENTIATED POWER LINDLEY DISTRIBUTION

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

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

Research Article | 08-December-2021

Type II Topp-Leone Frechet distribution: properties and applications

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

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

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

A new reciprocal Rayleigh extension: properties, copulas, different methods of estimation and a modified right-censored test for validation

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

Agu-Eghwerido distribution, regression model and applications

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

GENERALIZED PARETO DISTRIBUTION BASED ON GENERALIZED ORDER STATISTICS AND ASSOCIATED INFERENCE

Mansoor Rashid Malik, Devendra Kumar

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

Research Article | 24-August-2017

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

Rama Shanker, Kamlesh Kumar Shukla, Amarendra Mishra

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

Research Article | 08-December-2021

Relationships for moments of the progressively Type-II right censored order statistics from the power Lomax distribution and the associated inference

Jagdish Saran, Narinder Pushkarna, Shikha Sehgal

Statistics in Transition New Series, Volume 22 , ISSUE 4, 191–212

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