A New Lifetime Model: Statistical Properties and Applications
Résumé
Abstract In this paper, we introduce a new lifetime distribution. Characteristics and statistical properties are obtained, such as stress strength reliability, moments, entropy, and order statistics. Moreover, the estimation of the parameter of the proposed distribution for the complete sample are discussed using different estimation methods like percentiles, least squares estimation, weighted least squares estimation, maximum likelihood estimation, and Cramer-von-mises estimations and compared them using Monte Carlo simulation study. The model parameter is obtained under hybrid censoring based on the censored sample. The actuarial measures are calculated for our model and the result is compared with the risk of the exponential distribution. Finally, an application of two real data sets is used to illustrate the proposed model.
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