In this paper, a new class of Log-Logistic distribution using Marshall-Olkin transformation is introduced. Its characterization and statistical properties are obtained. The proposed model extends the Log-Logistic distribution and is more flexible. Using the proposed model, we construct an autoregressive model and investigate its minification structure.
Gupta & Kundu (2009) proposed a new class of weighted exponential distributions using the idea of Azzalini. In this paper, we develop an acceptance sampling plan for the weighted exponential distribution under a truncated life test. For various acceptance numbers, consumer's confidence levels and values of the ratio of the experimental time to the specified mean lifetime, the minimum sample size necessary to ensure a certain mean lifetime are obtained. The operating characteristic function values and the associated producer's risks are also presented. A numerical example is provided to illustrate the acceptance sampling plan.
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