2018/07/03 by Abhimanyu Singh Yadav, Hassan S. Bakouch, Yadav, Abhimanyu Singh +5
Decision Sciences · Mathematics · #62C10 #62F10 #62F15 #Applications (stat.AP) #FOS: Computer and information sciences #Fractional Differential Equations Solutions #Probabilistic and Robust Engineering Design #Statistical Distribution Estimation and Applications #msc:62C10 #msc:62F10 #msc:62F15 #stat.AP
paper · pdf · doi:10.48550/arxiv.1807.01200
arxiv created 2018/07/03 · openalex publication_date 2018/07/03 · arxiv updated 2018/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we proposed a new probability distribution named as power Maxwell distribution (PMaD). It is another extension of Maxwell distribution (MaD) which would lead more flexibility to analyze the data with non-monotone failure rate. Different statistical properties such as reliability characteristics, moments, quantiles, mean deviation, generating function, conditional moments, stochastic ordering, residual lifetime function and various entropy measures have been derived. The estimation of the parameters for the proposed probability distribution has been addressed by maximum likelihood estimation method and Bayes estimation method. The Bayes estimates are obtained under gamma prior using squared error loss function. Lastly, real-life application for the proposed distribution has been illustrated through different lifetime data.