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Erschienen in:

15.06.2023

On Progressively Censored Generalized X-Exponential Distribution: (Non) Bayesian Estimation with an Application to Bladder Cancer Data

verfasst von: Kousik Maiti, Suchandan Kayal, Aditi Kar Gangopadhyay

Erschienen in: Annals of Data Science | Ausgabe 5/2024

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Abstract

This article addresses estimation of the parameters and reliability characteristics of a generalized X-Exponential distribution based on the progressive type-II censored sample. The maximum likelihood estimates (MLEs) are obtained. The uniqueness and existence of the MLEs are studied. The Bayes estimates are obtained under squared error and entropy loss functions. For computation of the Bayes estimates, Markov Chain Monte Carlo method is used. Bootstrap-t and bootstrap-p methods are used to compute the interval estimates. Further, a simulation study is performed to compare the performance of the proposed estimates. Finally, a real-life dataset is considered and analysed for illustrative purposes.

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Literatur
  1. Lawless JF (2011) Statistical Models and Methods for Lifetime Data, vol 362. Wiley, London
  2. Bain L, Englehardt M (1991) Statistical analysis of reliability and life-testing models: theory and methods, vol 115. CRC Press
  3. Miller J, Rupert G (2011) Survival analysis, vol 66. Wiley, London
  4. Cohen AC (2016) Truncated and censored samples: theory and applications. CRC Press
  5. Balakrishnan N, Aggarwala R (2000) Progressive Censoring: Theory, Methods, and Applications. Birkhauser, BostonView Article
  6. Balakrishnan N, Cramer E (2014) The Art of Progressive Censoring. Springer, New YorkView Article
  7. Balakrishnan N (2007) Progressive censoring methodology: an appraisal. TEST 16(2):211–259View Article
  8. Chacko V (2016) X-Exponential bathtub failure rate model. Reliab: Theory Appl 4(43):55–66
  9. Chacko V, Deepthi K (2019) Generalized x-exponential bathtub shaped failure rate distribution. J Indian Soc Probab Stat 20(2):157–171View Article
  10. Khan MS, King R, Hudson I (2013) Characterizations of the transmuted inverse Weibull distribution. Anziam J 55:C197–C217
  11. Kumar D, Singh U, Singh SK (2015) A method of proposing new distribution and its application to Bladder cancer patients data. J Stat Appl Probab Lett 2(3):235–245
  12. Kumar D, Singh U, Singh SK (2015) A new distribution using sine function-its application to bladder cancer patients data. J Stat Appl Probab 4(3):417
  13. Rady E-HA, Hassanein W, Elhaddad T (2016) The power lomax distribution with an application to bladder cancer data. Springerplus 5:1–22View Article
  14. Zhang C, Zhao J, Wang W, Geng H, Wang Y, Gao B (2023) Current advances in the application of nanomedicine in bladder cancer. Biomed Pharmacother 157:114062View Article
  15. Klakattawi HS, Baharith LA, Al-Dayian GR (2011) Bayesian and non Bayesian estimations on the exponentiated modified Weibull distribution for progressive censored sample. Commun Stat-Simul Comput 40(9):1291–1309View Article
  16. Raqab MZ, Madi MT (2011) Inference for the generalized Rayleigh distribution based on progressively censored data. J Stat Plan Inference 141(10):3313–3322View Article
  17. Rastogi MK, Tripathi YM (2014) Parameter and reliability estimation for an exponentiated half-logistic distribution under progressive type II censoring. J Stat Comput Simul 84(8):1711–1727View Article
  18. Lee K, Cho Y (2017) Bayesian and maximum likelihood estimations of the inverted exponentiated half logistic distribution under progressive Type II censoring. J Appl Stat 44(5):811–832View Article
  19. Tarvirdizade B, Nematollahi N (2021) Inference for the power-exponential hazard rate distribution under progressive type-II censored data. J Stat Manag Syst 24(6):1169–1212
  20. Maiti K, Kayal S (2022) Estimation, prediction and life testing plan for the exponentiated gumbel type-II progressive censored data: Accepted: February 2022. REVSTAT-Statistical Journal
  21. Balakrishnan N, Sandhu R (1995) A simple simulational algorithm for generating progressive type-II censored samples. Am Stat 49(2):229–230View Article
  22. Arnold BC, Press SJ (1983) Bayesian inference for Pareto populations. J Econom 21(3):287–306View Article
  23. Chen Q, Gui W (2022) Statistical inference of the generalized inverted exponential distribution under joint progressively type-II censoring. Entropy 24(5):576View Article
  24. Smith AF, Roberts GO (1993) Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods. J R Stat Soc: Ser B (Methodol) 55(1):3–23View Article
  25. Upadhyay S, Vasishta N, Smith A (2001) Bayes inference in life testing and reliability via Markov chain Monte Carlo simulation. Sankhyā: Indian J Stat Ser A (1961–2002), 63(1):15–40
  26. Maiti K, Kayal S (2021) Estimation of parameters and reliability characteristics for a generalized Rayleigh distribution under progressive type-II censored sample. Commun Stat - Simul Comput 50(11):3669–3698View Article
  27. Lee ET, Wang J (2003) Statistical Methods for Survival Data Analysis, vol 476. Wiley, LondonView Article
  28. Lemonte AJ (2013) A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function. Comput Stat Data Anal 62:149–170View Article
  29. Lemonte AJ, Cordeiro GM (2011) The exponentiated generalized inverse Gaussian distribution. Stat Prob Lett 81(4):506–517View Article
  30. Basheer AM (2022) Marshall–Olkin alpha power inverse exponential distribution: properties and applications. Ann Data Sci 9(2):301–313View Article
  31. Shi Y (2022) Advances in big data analytics: theory, algorithm and practice. Adv Big Data Anal, Springer, Singapore
  32. Olson DL, Shi Y, Shi Y (2007) Introduction to business data mining. McGraw-Hill/Irwin, New York
  33. Shi Y, Tian Y, Kou G, Peng Y, Li J (2011) Optimization based data mining: theory and applications. Springer, BerlinView Article
  34. Tien JM (2017) Internet of things, real-time decision making, and artificial intelligence. Ann Data Sci 4(2):149–178View Article
Metadaten
Titel
On Progressively Censored Generalized X-Exponential Distribution: (Non) Bayesian Estimation with an Application to Bladder Cancer Data
verfasst von
Kousik Maiti
Suchandan Kayal
Aditi Kar Gangopadhyay
Publikationsdatum
15.06.2023
Verlag
Springer Berlin Heidelberg
Erschienen in
Annals of Data Science / Ausgabe 5/2024
Print ISSN: 2198-5804
Elektronische ISSN: 2198-5812
DOI
https://doi.org/10.1007/s40745-023-00477-1

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