Journal ArticleDOI
On progressively censored generalized exponential distribution
Biswabrata Pradhan,Debasis Kundu +1 more
TLDR
In this paper, the authors considered the statistical inference of the unknown parameters of the generalized exponential distribution in presence of progressive censoring and obtained maximum likelihood estimators of unknown parameters using EM algorithm.Abstract:
In this paper, we consider the statistical inference of the unknown parameters of the generalized exponential distribution in presence of progressive censoring. We obtain maximum likelihood estimators of the unknown parameters using EM algorithm. We also compute the expected Fisher information matrix using the missing value principle. We then use these values to determine the optimal progressive censoring plans. Different optimality criteria are considered, and selected optimal progressive censoring plans are presented. One example has been provided for illustrative purposes.read more
Citations
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Journal ArticleDOI
Progressively Type-II censored competing risks data from Lomax distributions
TL;DR: It turns out that the optimal censoring scheme depends on the particular parametrization of the Lomax distributions.
Journal ArticleDOI
A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function
TL;DR: A new three-parameter exponential-type family of distributions which can be used in modeling survival data, reliability problems and fatigue life studies is introduced and maximum likelihood estimation of the unknown parameters of the new model for complete sample as well as for censored sample is discussed.
Journal ArticleDOI
Reliability estimation in generalized inverted exponential distribution with progressively type II censored sample
Hare Krishna,Kapil Kumar +1 more
TL;DR: Abouammoh and Alshingiti as discussed by the authors considered a generalization of inverted exponential distribution as a lifetime model and derived the maximum likelihood estimation of the two parameters involved along with reliability and failure rate functions.
Journal ArticleDOI
On progressively censored competing risks data for Weibull distributions
TL;DR: The maximum likelihood and approximate maximum likelihood estimates of the unknown parameters are obtained and the observed Fisher information matrix is computed using the missing information principles, and the asymptotic confidence intervals are computed.
Journal ArticleDOI
Bayesian inference and life testing plans for generalized exponential distribution
Debasis Kundu,Biswabrata Pradhan +1 more
TL;DR: In this article, Bayesian inference of the unknown parameters of the progressively censored generalized exponential distribution has been dealt with, where the scale and the shape parameters have independent gamma priors.
References
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Journal ArticleDOI
Maximum likelihood from incomplete data via the EM algorithm
Journal ArticleDOI
Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables
Book
Statistical Models and Methods for Lifetime Data
TL;DR: Inference procedures for Log-Location-Scale Distributions as discussed by the authors have been used for estimating likelihood and estimating function methods. But they have not yet been applied to the estimation of likelihood.
Book
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
TL;DR: A handbook of mathematical functions that is designed to provide scientific investigations with a comprehensive and self-contained summary of the mathematical functions arising in physical and engineering problems is presented in this article.