Weighted Linear Failure Rate Distribution: Properties, Regression Model, and Applications
• 2023
Publication Information
Authors
Mervat Mahdy; Dina S. El-telbany
Keywords
Linear failure rate distribution, failure quantile function, L moments Quantile density function, Quantile function, Stochastic orders
Journal
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Publisher
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Volume
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Issue
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Pages
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publication.type
International
Paper Link
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Supplementary Materials
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Abstract
In this paper, an extension of the linear failure rate distribution is proposed,
called the weighted linear failure rate distribution. This class is a generalization of the two-parameter linear failure rate distribution as well as some other
lifetime distributions. The new model has the advantage of being capable of
modelling various shapes of ageing and failure criteria. Di§erent properties of
this new distribution and the inference of the old parameters are discussed, the
skewness parameter is examined, and some well-known lifetime distributions
are introduced as special sub models. Finally, an application using various
types of data is presented to demonstrate the áexibility of this distribution and
for illustrative purposes.
called the weighted linear failure rate distribution. This class is a generalization of the two-parameter linear failure rate distribution as well as some other
lifetime distributions. The new model has the advantage of being capable of
modelling various shapes of ageing and failure criteria. Di§erent properties of
this new distribution and the inference of the old parameters are discussed, the
skewness parameter is examined, and some well-known lifetime distributions
are introduced as special sub models. Finally, an application using various
types of data is presented to demonstrate the áexibility of this distribution and
for illustrative purposes.
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