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Time Truncated Life Tests Using the Generalized Multiple Dependent State Sampling Plans for Various Life Distributions

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Statistical Quality Technologies

Part of the book series: ICSA Book Series in Statistics ((ICSABSS))

Abstract

This chapter presents the designing of the generalized multiple dependent state sampling (GMDSS) plans for the various statistical distributions. We will present the design of GMDSS sampling when the failure time follows the gamma distribution, Burr type XII distribution and the Birnbaum-Saunders (BS) distribution. The necessary measures including the operating characteristics (OC) function are derived. The plan parameters of the proposed test plans are determined through the non-linear optimization solution. The proposed sampling plan is studied for a minimal sample size subject to specified requirements of the consumer and producer’ risks. The efficiency of the proposed plans in terms of sample sizes are discussed over the existing sampling plans using the same level of all parameters. The advantages of the proposed plans are discussed through simulated data and real data from the industry.

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Author information

Authors and Affiliations

  1. Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

    Muhammad Aslam & Mohammed Albassam

  2. Department of Statistics, The University of Dodoma, Dodoma, Tanzania

    Gadde Srinivasa Rao

Authors
  1. Muhammad Aslam
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  2. Gadde Srinivasa Rao
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  3. Mohammed Albassam
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Corresponding author

Correspondence to Muhammad Aslam .

Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, University of South Dakota, Vermillion, SD, USA

    Yuhlong Lio

  2. Department of Statistical Science, Southern Methodist University, Dallas, TX, USA

    Hon Keung Tony Ng

  3. Department of Statistics, Tamkang University, New Taipei, Taiwan

    Tzong-Ru Tsai

  4. Department of Statistics, University of Pretoria, Pretoria, South Africa

    Ding-Geng Chen

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Aslam, M., Rao, G.S., Albassam, M. (2019). Time Truncated Life Tests Using the Generalized Multiple Dependent State Sampling Plans for Various Life Distributions. In: Lio, Y., Ng, H., Tsai, TR., Chen, DG. (eds) Statistical Quality Technologies. ICSA Book Series in Statistics. Springer, Cham. https://doi.org/10.1007/978-3-030-20709-0_7

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