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Journal ArticleDOI

Exponentiated Weibull family for analyzing bathtub failure-rate data

G.S. Mudholkar, +1 more
- 01 Jun 1993 - 
- Vol. 42, Iss: 2, pp 299-302
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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. >

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Citations
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Journal ArticleDOI

Reliability Analysis of the Inverse Modified Weibull Model with Applications

TL;DR: In this article , a flexible inverse modified Weibull model with a concave weibull probability diagram was proposed for simulating certain aging classes of life distributions with appropriate choices of parameter values.
Journal ArticleDOI

The Extended Exponentiated Weibull Distribution and its Applications

TL;DR: In this paper, the authors introduce a univariate four-parameter distribution, which can have a decreasing, increasing, decreasing-increasing-decreasing (DID), upside-down bathtub (unimodal) and bathtub-shaped failure rate function depending on its parameters.
Journal ArticleDOI

Power-Law Adjusted Survival Models

TL;DR: In this article, a simple adjustment to parametric failure-time distributions, which allows for much greater flexibility in the shape of the hazard-rate function, is considered, and analytical expressions for the distributions of the power-law adjusted Weibull, gamma, log-gamma, generalized gamma, lognormal, and Pareto distributions are given.
Journal Article

A new mixed beta distribution and structural properties with applications

TL;DR: This paper re-expresses the BEWP density function as a EWP linear combination, and uses this to obtain its moments and proposes its basic structural properties such as density function and moments for this new distribution.
Dissertation

Building new probability distributions: the composition method and a computer based method

TL;DR: This thesis shows the performance of simple neural networks as a method for parameter estimation in probability distributions in the context of computational tools and algorithms, and shows two new probability distribution classes obtained from the composition of already existing ones.
References
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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.
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