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Journals / Cumhuriyet Science Journal / 2019 / Cilt: 40 - Sayı: 2

Discriminating between the Lognormal and Weibull Distributions under Progressive Censoring

İlerleyen Tür Sansür Altında Lognormal ve Weibull Dağılımlarının Ayrımı

Ahmet PEKGÖR
Coşkun KUŞ
İsmail KINACI
Pages
493–504
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The probability of correct selections is simulated andcompared to investigate the performance of the procedures for different censoring schemes and parametersettings.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the ratio of maximized likelihood and Minimized Kullback-Leibler Divergencemethods are discussed for discrimination between log-normal and Weibull distributions.
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Key Findings & Data:The progressive Type-II right censored sample is considered in the study.
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Conclusion & Impact:The probability of correct selections is simulated andcompared to investigate the performance of the procedures for different censoring schemes and parametersettings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, the ratio of maximized likelihood and Minimized Kullback-Leibler Divergencemethods are discussed for discrimination between log-normal and Weibull distributions. The progressive Type-II right censored sample is considered in the study. The probability of correct selections is simulated andcompared to investigate the performance of the procedures for different censoring schemes and parametersettings.

Özet

Bu çalışmada, log-normal ve weibull dağılımları arasında ayırım için en çok olabilirlik oran ve Kullback- Leibler uzaklık metotları tartışılmıştır. Çalışmada, ilerleyen tür sansürlü veri durumu ele alınmıştır. Doğru seçim oranları hesaplanmış ve farklı parametre ve sansür şemaları altında testlerin performansları karşılaştırılmıştır.

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Cite This Article

PEKGÖR, A., KUŞ, C., KINACI, İ. (2022). Discriminating between the Lognormal and Weibull Distributions under Progressive Censoring. Cumhuriyet Science Journal, Cilt: 40 - Sayı: 2, 493–504. https://ajindex.com/articles/477785

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References (10)

  1. Alzaid A. and Sultan, K.S., Discriminating between gamma and lognormal distributions with applications. Journal of King Saud University - Science, 21-2 (2009) 99-108.
  2. Kundu D. and Manglick, A., Discriminating between the log-normal and gamma distributions. Journal of the Applied Statistical Sciences, 14 (2005) 175-187.
  3. Bromideh A.A. and Valizadeh R., Discrimination between Gamma and Log-Normal Distributions by Ratio of Minimized Kullback-Leibler Divergence. Pakistan Journal of Statistics and Operation Research, 9-4 (2014) 443-453.
  4. Dey A.K. and Kundu D., Discriminating among the log-normal, Weibull, and generalized exponential distributions. IEEE Transactions on reliability, 58-3 (2009) 416-424. Dey A.K., and Kundu, D., Discriminating between the log-normal and log-logistic distributions. Communications in Statistics-Theory and Methods, 39-2 (2009) 280-292.
  5. Kundu D., Discriminating between normal and Laplace distributions. In Advances in Ranking and Selection, Multiple Comparisons, and Reliability, Springer (2005) 65-79.
  6. Kantam R. R., Priya M., and Ravikumar M., Likelihood ratio type test for linear failure rate distribution vs. exponential distribution. Journal of Modern Applied Statistical Methods, 13-1 (2014) 11. Ngom P., Nkurunziza J.D.D., and Ogouyandjou C.S., Discriminating between two models based on Bregman divergence in small samples, (2017).
  7. Ravikumar M. and Kantam R., Discrimination Between Burr Type X Distribution Versus Log- Logistic and Weibull-Exponential Distributions. i-Manager's Journal on Mathematics, 5-4 (2017) 39. Qaffou A. and Zoglat A., Discriminating Between Normal and Gumbel Distributions. REVSTATStatistical Journal, 15-4 (2017) 523-536.
  8. Algamal Z., Using maximum likelihood ratio test to discriminate between the inverse gaussian and gamma distributions. International Journal of Statistical Distributions, 1-1 (2017) 27-32. Quesenberry C.P., and Kent J., Selecting among Probability Distributions Used in Reliability. Technometrics, 24-1 (1982) 59-65. Dumonceaux R., and Antle C.E., Discrimination between the log-normal and the Weibull distributions. Technometrics, 15-4 (1973) 923-926.
  9. Pasha G., Shuaib K.M., and Pasha A. H., Discrimination between Weibull and Log-Normal Distributions For Lifetime data. Journal of Research (Science), Bahauddin Zakariya University, Multan, Pakistan, 17-2 (2006) 103-114.
  10. Bromideh A.A., Discriminating between Weibull and log-normal distributions based on Kullback- Leibler divergence. Ekonometri ve İstatistik