Journal ArticleDOI
Exponentiated Weibull family for analyzing bathtub failure-rate data
G.S. Mudholkar,D.K. Srivastava +1 more
Reads0
Chats0
TLDR
In this article, a simple generalization of the Weibull distribution is presented, which is well suited for modeling bathtub failure rate lifetime data and for testing goodness-of-fit of the weibull and negative exponential models as subhypotheses.Abstract:
A simple generalization of the Weibull distribution is presented. The distribution is well suited for modeling bathtub failure rate lifetime data and for testing goodness-of-fit of the Weibull and negative exponential models as subhypotheses. >read more
Citations
More filters
Journal ArticleDOI
Strength modeling using Weibull distributions
Saralees Nadarajah,Samuel Kotz +1 more
TL;DR: A comprehensive review of the known variations of the two-parameter Weibull distribution is provided to help providing better modeling in this article, where the appropriateness of the variations is discussed as models for brittle versus ductile strength.
Journal ArticleDOI
Maximum Product Spacing and Bayesian Method for Parameter Estimation for Generalized Power Weibull Distribution Under Censoring Scheme
TL;DR: In this article, the estimation of the Generalized Power Weibull parameters using the maximum product spacing (MPS) method, the maximum likelihood (ML) method and Bayesian estimation method under squares error for loss function is discussed.
Journal ArticleDOI
The Lindley Weibull Distribution: properties and applications.
TL;DR: A new three-parameter lifetime model called the Lindley Weibull distribution is introduced, which accommodates unimodal and bathtub, and a broad variety of monotone failure rates, and some of its mathematical properties including ordinary and incomplete moments, quantile and generating functions and order statistics are provided.
Journal ArticleDOI
The exponentiated generalized Birnbaum-Saunders distribution
TL;DR: A comprehensive account of the mathematical properties of the new distribution and various structural quantities are derived and maximum likelihood estimation of the model parameters for uncensored and censored data is discussed.
Journal ArticleDOI
Estimating the turning point of a bathtub-shaped failure distribution
TL;DR: In this article, the authors investigate the performance of an empirical estimator for the turning point in the case of the modified Weibull distribution, a bathtub-shaped generalization of the Weibbull distribution that has been found to be useful in reliability engineering and other areas concerned with life-time data.
References
More filters
Book
Linear statistical inference and its applications
TL;DR: Algebra of Vectors and Matrices, Probability Theory, Tools and Techniques, and Continuous Probability Models.
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.
Journal ArticleDOI
Linear Statistical Inference and Its Applications.
Journal ArticleDOI
Statistical Models and Methods for Lifetime Data.
Brian Francis,Jerald F. Lawless +1 more
Related Papers (5)
The exponentiated Weibull family: a reanalysis of the bus-motor-failure data
A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families
Albert W. Marshall,Ingram Olkin +1 more