Robustness of Sequential Test for the Scale Parameter of Nakagami Distribution

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Surinder Kumar
Surinder Kumar
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Mayank Vaish
Mayank Vaish
α Babasaheb Bhimrao Ambedkar University Babasaheb Bhimrao Ambedkar University

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Robustness of Sequential Test for the Scale Parameter of Nakagami Distribution

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Abstract

In the present study, Sequential Probability Ratio Test (SPRT) is developed for the scale parameter of Nakagami Distribution and the robustness of scale parameter is studied when the shape parameter has undergone a change, for testing the hypothesis regarding the parameter of Nakagami Distribution. The expression for the Operating Characteristic (OC) and Average Sample Number (ASN) functions are derived and the results are presented through Graphs and Tables.

References

12 Cites in Article
  1. R Barlow,E Proschan (1967). Exponential Life Test Procedures When the Distribution under Test has Monotone Failure Rate.
  2. Ajit Chaturvedi,Ajay Kumar,K Surinder (1998). Sequential testing procedures for a class of distributions representing various life-testing models.
  3. Ajit Chaturvedi,Ajay Kumar,K Surinder (2000). Sequential testing procedures for a class of distributions representing various life-testing models.
  4. Ajit Chaturvedi,Ajay Kumar,K Surinder (2002). Sequential testing procedures for a class of distributions representing various life-testing models.
  5. B Epstein,M Sobel (1955). Sequential Life Test in Exponential Case.
  6. L Harter,A Moore (1976). An Evaluation Exponential and Weibull Test Plans.
  7. N Johnson (1966). Cumulative Sum Control Chart and the Weibull Distribution.
  8. E Montagne,N Singpurwalla (1985). Robustness of Sequential Exponential Life-Testing Procedures.
  9. M Nakagami (1960). The m-Distribution -A General Formula of Intensity Distribution of Rapid Fading.
  10. R Phatarfod (1971). A Sequential Test for Gamma Distribution.
  11. K Surinder,N Chandra (2009). A Note on Sequential Testing of the Mean of an Inverse Gaussian Distribution with known Coefficient of Variation.
  12. A Wald (1947). Sequential Analysis.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Surinder Kumar. 2015. \u201cRobustness of Sequential Test for the Scale Parameter of Nakagami Distribution\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F8): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 97K80
Version of record

v1.2

Issue date

October 15, 2015

Language
en
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In the present study, Sequential Probability Ratio Test (SPRT) is developed for the scale parameter of Nakagami Distribution and the robustness of scale parameter is studied when the shape parameter has undergone a change, for testing the hypothesis regarding the parameter of Nakagami Distribution. The expression for the Operating Characteristic (OC) and Average Sample Number (ASN) functions are derived and the results are presented through Graphs and Tables.

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Robustness of Sequential Test for the Scale Parameter of Nakagami Distribution

Surinder Kumar
Surinder Kumar Babasaheb Bhimrao Ambedkar University
Mayank Vaish
Mayank Vaish

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