Journal ArticleDOI
Generalized exponential distribution: different method of estimations
Rameshwar D. Gupta,Debasis Kundu +1 more
TLDR
In this article, the authors considered the maximum likelihood estimation of the different parameters of a generalized exponential distribution and discussed some of the testing of hypothesis problems, and compared their performances through numerical simulations.Abstract:
Recently a new distribution, named as generalized exponential distribution has been introduced and studied quite extensively by the authors. Generalized exponential distribution can be used as an alternative to gamma or Weibull distribution in many situations. In a companion paper, the authors considered the maximum likelihood estimation of the different parameters of a generalized exponential distribution and discussed some of the testing of hypothesis problems. In this paper we mainly consider five other estimation procedures and compare their performances through numerical simulations.read more
Citations
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Journal ArticleDOI
Families of distributions arising from distributions of order statistics
TL;DR: In this article, a simple generalisation of the use of the collection of order statistic distributions associated with symmetric distributions is presented, and an alternative derivation of this family of distributions is as the result of applying the inverse probability integral transformation to the beta distribution.
Journal ArticleDOI
The beta exponential distribution
Saralees Nadarajah,Samuel Kotz +1 more
TL;DR: A comprehensive treatment of the mathematical properties of the beta exponential distribution generated from the logit of a beta random variable is provided and an expression for the Fisher information matrix is provided.
Journal ArticleDOI
Generalized Rayleigh distribution
Debasis Kundu,Mohammad Z. Raqab +1 more
TL;DR: Different estimation procedures have been used to estimate the unknown parameter(s) and their performances are compared using Monte Carlo simulations, and it is observed that this particular skewed distribution can be used quite effectively in analyzing lifetime data.
Journal ArticleDOI
Generalized exponential distribution: Existing results and some recent developments
Rameshwar D. Gupta,Debasis Kundu +1 more
TL;DR: In this paper, the authors proposed a generalized exponential distribution for analyzing bathtub failure data, which has a right skewed unimodal density function and monotone hazard function similar to the density functions and hazard functions of the gamma and Weibull distributions.
Journal ArticleDOI
Proportional reversed hazard rate model and its applications
TL;DR: In this paper, the structure and properties of the proportional reversed hazard rate model (PRHRM) in contrast to the celebrated proportional hazard model (PHM) are studied and some criteria of aging are presented and the inheritance of the aging notions (of the base distribution) by the PRHRM is studied.
References
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Book
Numerical Recipes in FORTRAN
TL;DR: The Diskette v 2.04, 3.5'' (720k) for IBM PC, PS/2 and compatibles [DOS] Reference Record created on 2004-09-07, modified on 2016-08-08.
Book
Continuous univariate distributions
TL;DR: Continuous Distributions (General) Normal Distributions Lognormal Distributions Inverse Gaussian (Wald) Distributions Cauchy Distribution Gamma Distributions Chi-Square Distributions Including Chi and Rayleigh Exponential Distributions Pareto Distributions Weibull Distributions Abbreviations Indexes
Journal ArticleDOI
L-Moments: Analysis and Estimation of Distributions Using Linear Combinations of Order Statistics
TL;DR: The authors define L-moments as the expectations of certain linear combinations of order statistics, which can be defined for any random variable whose mean exists and form the basis of a general theory which covers the summarization and description of theoretical probability distributions.
Journal ArticleDOI
Generalized Exponential Distributions
Rameshwar D. Gupta,Debasis Kundu +1 more
TL;DR: In this article, a three-parameter generalized exponential distribution (GED) was used for analysis of lifetime data, which is a particular case of the exponentiated Weibull distribution originally proposed by Mudholkar et al.
Book
Methods for statistical analysis of reliability and life data
TL;DR: Methods for statistical analysis of reliability and life data as discussed by the authors, Methods for statistical analyzer of reliability data, and methods for statistical analyser of life data, are presented in Table 1 : 1.
Related Papers (5)
Exponentiated exponential family: an alternative to gamma and weibull distributions
Rameshwar D. Gupta,Debasis Kundu +1 more
Exponentiated Weibull family for analyzing bathtub failure-rate data
G.S. Mudholkar,D.K. Srivastava +1 more