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Applications of HLMOL-X Family of Distributions to Time Series, Acceptance Sampling and Stress-strength Parameter

Authors

  • Lishamol Tomy Department of Statistics, Deva Matha College, Kuravilangad, Kerala
  • Meenu Jose Calicut university

Abstract

In this paper, the applications of the half logistic-Marshall Olkin X family of distributions are investigated with special emphasis to the half logistic-Marshall Olkin Lomax distribution. The specific areas we concentrated are time series modeling, acceptance sampling plan and stress-strength analysis. Different autoregressive minification structures of order one are introduced. The acceptance sampling plan is detailed by considering life time of products following the half logistic-Marshall Olkin Lomax distribution. The stress-strength reliability of the half logistic-Marshall Olkin Lomax distribution is derived and estimated. A simulation study is carried out to examine the bias, mean square error, average confidence length and coverage probability of the maximum likelihood estimator of the
stress-strength reliability. Finally a real-life data analysis has also been presented.

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How to Cite

Lishamol Tomy, & Meenu Jose. Applications of HLMOL-X Family of Distributions to Time Series, Acceptance Sampling and Stress-strength Parameter. Austrian Journal of Statistics, 51(2), 124–143. Retrieved from https://ajs.or.at/index.php/ajs/article/view/1253