Designing of Special Type Double Sampling Plan for Truncate Life Test using Gompertz Frechet Distribution

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2022 by IJMTT Journal
Volume-68 Issue-1
Year of Publication : 2022
Authors : S. Jayalakshmi, S. Vijilamery
  10.14445/22315373/IJMTT-V68I1P508

MLA

MLA Style: S. Jayalakshmi, S. Vijilamery. "Designing of Special Type Double Sampling Plan for Truncate Life Test using Gompertz Frechet Distribution" International Journal of Mathematics Trends and Technology 68.1 (2022):70-76. 

APA Style: S. Jayalakshmi, S. Vijilamery(2022). Designing of Special Type Double Sampling Plan for Truncate Life Test using Gompertz Frechet Distribution  International Journal of Mathematics Trends and Technology, 68(1), 70-76.

Abstract
In this Paper deals with designing of Special Type Double Sampling plan for truncated life test using Gompertz Frechet Distribution. The lifetime test is truncated at pre-determined time t0 and Gompertz Frechet Distribution is considered as a life time random variable. The minimum sample size, Operating Characteristic function and values, Producer’s risk is also discussed. The results are illustrated by an example

Reference

[1] Alizadeh, M.,Cordeiro, G. M., Pinho, L.G. B.,& Ghosh, I.., The Gompertz-G family of distributions. Journal of Statistical Theory and Practice, 11(1) 179–207.
[2] Benjamin Epstein ., Truncated Life Tests in the Exponential Case. Annals of Mathematics, 25(3) (1954) 555-564.
[3] Cameron.J.M., Tables for constructing and computing the Operating Characteristics of Single Sampling Plans. Industrial Quality Control, 11 (1952) 37-39.
[4] Gupta, S.S. and Groll, P.A., Gamma distribution in acceptance sampling based on life tests. J. Amer. Statist. Assoc., 56 (1961) 942-970.
[5] Gupta, S.S. and Groll, P. A., Gamma distribution in acceptance sampling based on life tests. Journal of the American Statistical Association , 56 (1961) 942-970.
[6] Gupta, S.S., Life test sampling plans for normal and lognormal distribution. Technometrics, 4 (1962) 151-175.
[7] Jayalakshmi.S, Neena Krishna P.K ., Designing of Special Type Double Sampling Plan for Life Tests Based on Percentiles Using Exponentiated Frechet Distribution, RT&A, 16 (2021) 117-123.
[8] Kantam, R.R.L. and Rosaiah, K. and Rao, G.S., Half logistic distribution in acceptance sampling based on life tests. IAPQR Transaction, 23 (1998) 117-125.
[9] Kantam, R.R.L. and Rosaiah, K. and Rao, G.S., Acceptance sampling based on life tests: Log-Logistic model. Journal of Applied Statistics, 28 (2001) 121-128.
[10] Malathi.D, Muthulakshmi.S ., Special Double Sampling Plan for truncated life tests based on the Marshall-Olkin extended exponential distribution, International Journal of Computational Engineering Research (IJCER), ISSN (e): 5(1) (2015) 2250 – 3005.
[11] Merovci, F., Khaleel, M. A., Ibrahim, N. A., & Shitan, M., The beta type X distribution: Properties with application. Springer Plus, 5 (2016) 697. doi:10.1186/s40064016-2271-9
[12] Oguntunde, P. E., Adejumo, A. O., Okagbue, H. I., & Rastogi, M. K., Statistical properties and applications of a new Lindley exponential distribution. Gazi University Journal of Science, 29(4) (2016) 831–838.
[13] Oguntunde, P. E., Khaleel, M. A., Adejumo, A. O., Okagbue, H. I., Opanuga, A. A., & Owolabi, F. O.,, The Gompertz Inverse Exponential (GoIE) distribution with Applications. Cogent Mathematics and Statistics, 5(1) (2018) 1507122. doi:10.1080/ 25742558.2018.1507122.
[14] Pelumi E. Oguntunde, Mundher A. Khaleel, Mohammed T. Ahmed and Hilary I. Okagbue (2019), The Gompertz Fréchet distribution: Properties and applications. Cogent Mathematics & Statistics, 6 (2019) 1568662.
[15] Rao, G.S. and Kantam, R.R.L,. Acceptance sampling plans from truncated life tests based on the log-logistic distribution for percentiles. Economic Quality Control , 25(2). 153- 167.
[16] Rao, G.S., Kantam, R.R.L., Rosaiah, K. and Reddy, J.P., Acceptance sampling plans for percentiles based on the Inverse Rayleigh Distribution. Electronic Journal of Applied Statistical Analysis , 5(2) (2012). 164-177.
[17] Rosaiah, K. and Kantam, R. R. L., Acceptance sampling based on the inverse Rayleigh distribution. Economic Quality Control, 20 (2005) 277-286.
[18] Ram Kumar T.B.,. Reliability test plan based on Burr distribution from truncated life test. International journals of mathematics and computer Application Research (IJMCR),1(2) (2011) 28-40.
[19] Sobel, M. and Tischendrof, J.A,. Acceptance Sampling with new life test objectives, Proceedings of fifth National Symposium on Reliability and Quality Control, Philadelphia Pennsylvania, (1959)108-118.

Keywords : Gompertz Frechet distribution, Producer’s risk, Special type double sampling plan, Lifetime test.