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Keywords
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Compounding, Failure Times, Maximum Likelihood Estimation, Lifetime Distribution, Series Structure
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Abstract
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A new lifetime distribution by compounding the Alpha Power Modified Weibull distribution, named Alpha Power
Modified Weibull-Geometric distribution is introduced and discussed.The compounding of the distribution is motivated from
the failure time of the system with series structure, where only the minimum lifetime value is considered. Various Statistical
properties of the proposed distribution are investigated. Maximum likelihood estimation method is used to estimate the
model parameter. To assess the performance of the proposed method, Monte Carlo simulation study is conducted using
various choices of effective sample size and parameter value. Finally, to illustrate the capability and flexibility of the
proposed distribution, three real life data sets are considered and showed that the proposed distribution is more compatible
by comparing with other competing lifetime distributions.
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