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2014•IEEE Transactions on ReliabilityRequires access

A New Discrete Modified Weibull Distribution

Saad J. Almalki, Saralees Nadarajah

Open publisher page 48 citations

Abstract

A three-parameter discrete distribution is introduced based on a recent modification of the continuous Weibull distribution. It is one of only three discrete distributions allowing for bathtub shaped hazard rate functions. We study some of its mathematical properties, discuss estimation by the method of maximum likelihood, and describe applications to four real data sets. The new distribution is shown to outperform at least three other models including those allowing for bathtub shaped hazard rate functions.

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What this paper is about

A three-parameter discrete distribution is introduced based on a recent modification of the continuous Weibull distribution. It is one of only three discrete distributions allowing for bathtub shaped hazard rate functions. We study some of its mathematical properties, discuss estimation by the method of maximum likelihood, and describe applications to four real data sets. The new distribution is shown to outperform at least three other models including those allowing for bathtub shaped hazard rate functions.

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OpenAlex reports 48 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A three-parameter discrete distribution is introduced based on a recent modification of the continuous Weibull distribution. It is one of only three discrete distributions allowing for bathtub shaped hazard rate functions. We study some of its mathematical properties, discuss estimation by the method of maximum likelihood, and describe applications to four real data sets. The new distribution is shown to outperform at least three other models including those allowing for bathtub shaped hazard rate functions.

Key concepts: Bathtub, Weibull distribution, Exponentiated Weibull distribution, Weibull fading, Hazard, Failure rate, Weibull modulus, Statistics

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