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An Application of Time Truncated Single Acceptance Sampling Inspection Plan Based on Generalized Half-Normal Distribution

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A Correction to this article was published on 19 May 2020

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Abstract

In this paper, single acceptance sampling inspection plan for generalized half-normal distribution when the lifetime experiment is truncated at a pre-fixed time is introduced. For the propose plan, ratio of true mean life time to specified mean life time for different choices of confidence level are provided. Minimum sample size which is necessary to ensure a certain specified lifetime are obtained. Operating characteristic values of the proposed plan are also presented. A real life example is considered to show the applicability of the proposed sampling plan.

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Abbreviations

c:

Acceptance number

n:

Sample size

\(\hbox {Q}_1\) :

First quartile

\(\hbox {Q}_3\) :

Third quartile

\(\alpha\) :

Shape parameter

\(\theta\) :

Scale parameter

\(\mu\) :

True mean

\(\mu _0\) :

Specified mean

ASIP:

Acceptance sampling inspection plan.

ASN:

Average sample number

CDF:

Cumulative distribution function

CS:

Coefficient of skewness

CK:

Coefficient of kurtosis

DASIP:

Double acceptance sampling inspection plan

GHN distribution:

Generalized half-normal distribution

MASIP:

Multiple acceptance sampling inspection plan

OC function:

Operating characteristic function

PDF:

Probability density function

SPC:

Statistical process control

SASIP:

Single acceptance sampling inspection plan

SQC:

Statistical quality control

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Acknowledgements

Authors thanked the Editor and Associate Editor of the Journal, and anonymous Reviewer for constructive suggestions which helped us to improve the earlier version of this manuscript.

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Authors and Affiliations

  1. Department of Statistics, Central University of Rajasthan, Ajmer, Rajasthan, India

    Harsh Tripathi, Mahendra Saha & Vishal Alha

Authors
  1. Harsh Tripathi
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  2. Mahendra Saha
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  3. Vishal Alha
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Correspondence to Harsh Tripathi.

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The original version of this article was revised: In the original publication of the article, under the real life application section, Commas in the observation of real examples are misplaced and the observations are changed. The corrected numbers are given below: 10205, 10396, 10861, 11026, 11214, 11362, 11604, 11608, 11745, 11762, 11895 12044, 13520, 13670, 14110, 14496, 15395, 16179, 17092, 17568, 17568.

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Tripathi, H., Saha, M. & Alha, V. An Application of Time Truncated Single Acceptance Sampling Inspection Plan Based on Generalized Half-Normal Distribution. Ann. Data. Sci. 9, 1243–1255 (2022). https://doi.org/10.1007/s40745-020-00267-z

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  • DOI: https://doi.org/10.1007/s40745-020-00267-z

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