Part-Time Operatörlü İlerleyen Tür Tip-I Aralık Sansürleme Altında Weibull Dağılımı için İstatistiksel Tahmin

Bu çalışmada yeni bir yaşam testi metodu olan yarı-zamanlı operatörlü ilerleyen tür tip-I aralık sansürleme tanıtılmıştır. Weibull dağılımı parametreleri için en çok olabilirlik tahminleri elde edilmiştir. Tahminlere ait ortalama yan değerlerini, ortalama varyanslarını ve hata kareler ortalamasını (MSE) araştırmak için simülasyon çalışması yapıldı. Elde edilen sonuçlar, ilerleyen tür tip-I aralık sansürlü örneklem, part-time operatörlü sansürlü örneklem ve tam örneklem durumları için karşılaştırılmıştır

Statistical Estimation for the Weibull Distribution Under Progressive Type-I Interval Censoring with Part-Time Operator

In this study, a new life testing method called “progressive type-I interval censoring with part time operator” is introduced. We obtained the maximum likelihood estimators for parameters of Weibull distribution. A simulation study is conducted to investigate the mean biases, mean variances and MSE (Mean Squared Error)'s of estimates. The results are compared for sampling progressive type-I interval censored data, part-time operator and complete data

PDF

___

[1]. Aggarwala R. Progressive interval censoring: Some mathematical results with applications to inference, Communications in Statistics-Theory and Methods, 30-8,9 (2001) 1921-1935.
[2]. Cohen A.C. Maximum Likelihood Estimation in the Weibull Distribution Based on Complete and on Censored Samples, Technometrics, 7-4 (1965) 579-588.
[3]. Cheng K.F., Chen C.H. Estimation of the weibull parameters with grouped data, Communications in Statistics - Theory and Methods, 17-2 (1988) 325-341.
[4]. Tse S.-K., Yuen H.-K. Expected experiment times for the Weibull distribution under progressive censoring with random removals, Journal of Applied Statistics, 25-1 (1998) 75- 83.
[5]. Yang C.Y., Tse S.K. Planning accelerated life tests under progressive type I interval censoring with random removals, Communications in Statistics-Simulation and Computation, 34-4 (2005) 1001-1025.
[6]. Lu W., Tsai T.-R. Interval censored sampling plans for the gamma lifetime model, European Journal of Operational Research, 192-1 (2009) 116-124.
[7]. Xiang L.M., Tse S.K. Maximum likelihood estimation in survival studies under progressive interval censoring with random removals, Journal of Biopharmaceutical Statistics, 15-6 (2005) 981-991.
[8]. Wu S.-J., Chang C.-T., Liao K.-J., Huang S.-R. Planning of progressive group-censoring life tests with cost considerations, Journal of Applied Statistics, 35-11, (2008) 1293-1304.
[9]. Ng H.K.T.,Wang Z. Statistical estimation for the parameters of Weibull distribution based on progressively type-I interval censored sample, Journal of Statistical Computation and Simulation, 79-2 (2009) 145-159.
[10]. Chen D.G., Lio Y.L. Parameter estimations for generalized exponential distribution under progressive type-I interval censoring, Computational Statistics & Data Analysis, 54-6 (2010) 1581-1591.
[11]. Ashour S., Afify W. Statistical Analysis of Exponentiated Weibull Family under Type I Progressive Interval Censoring with Random Removals, Journal of Applied Statistics Sciences Research, 3-12 (2007) 1851-1863.
[12]. Yang C.Y., Fan A.X., Tse S.K. The Optimal Design of Accelerated Life Tests for Lognormal Distribution under Progressive Type-I Interval Censoring with Random Removals, Icpom2008: Proceedings of 2008 International Conference of Production and Operation Management, 1-3 (2008) 1173-1177.
[13]. Singh S., Tripathi Y.M. Estimating the parameters of an inverse Weibull distribution under progressive type-I interval censoring, Statistical Papers, (2016) 1-36.
[14]. Singh S.K.,Singh U., Kumar D. Bayesian Estimation of the Exponentiated Gamma Parameter and Reliability Function under Asymmetric Loss Function, Revstat-Statistical Journal, 9-3 (2011) 247-260.
[15]. Lin Y.J., Lio Y.L. Bayesian inference under progressive type-I interval censoring, Journal of Applied Statistics,39-8 (2018) 1811-1824.
[16]. Peng X.Y., Yan Z.Z. Bayesian Estimation for Generalized Exponential Distribution Based on Progressive Type-I Interval Censoring, Acta Mathematicae Applicatae Sinica-English Series, 29-2 "(2013) 391-402.
[17]. Singh S.K., Singh U., Sharma V.K. Bayesian estimation and prediction for the generalized Lindley distribution under asymmetric loss function, Hacettepe Journal of Mathematics and Statistics, 43-4 (2014) 661-678.
[18]. Kaushik A., Singh U., Singh S.K. Bayesian Inference for the Parameters of Weibull Distribution under Progressive Type-I Interval Censored Data with Beta-binomial Removals, Communications in Statistics - Simulation and Computation, (2015) 0-0.