Browse > Article
http://dx.doi.org/10.5351/CSAM.2014.21.1.093

Predictions for Progressively Type-II Censored Failure Times from the Half Triangle Distribution  

Seo, Jung-In (Department of Statistics, Yeungnam University)
Kang, Suk-Bok (Department of Statistics, Yeungnam University)
Publication Information
Communications for Statistical Applications and Methods / v.21, no.1, 2014 , pp. 93-103 More about this Journal
Abstract
This paper deals with the problem of predicting censored data in a half triangle distribution with an unknown parameter based on progressively Type-II censored samples. We derive maximum likelihood predictors and some approximate maximum likelihood predictors of censored failure times in a progressively Type-II censoring scheme. In addition, we construct the shortest-length predictive intervals for censored failure times. Finally, Monte Carlo simulations are used to assess the validity of the proposed methods.
Keywords
Approximate maximum likelihood predictor; Approximate predictive maximum likelihood estimator; Half triangle distribution; Prediction interval; Progressively Type-II censored sample;
Citations & Related Records
Times Cited By KSCI : 6  (Citation Analysis)
연도 인용수 순위
1 Han, J. T. and Kang, S. B. (2008). Estimation for the half triangle distribution based on progressively Type-II censored samples, Journal of the Korean Data & Information Science Society, 19, 951-957.   과학기술학회마을
2 Kang, S. B., Cho, Y. S. and Han, J. T. (2009). Estimation for the half triangle distribution based on Type-I hybrid censored samples, Journal of the Korean Data & Information Science Society, 20, 961-969.   과학기술학회마을
3 Kang, S. B. and Seo, J. I. (2011). Estimation in an exponentiated half logistic distribution under progressively Type-II censoring, Communications of the Korean Statistical Society, 18, 657-666.   과학기술학회마을   DOI   ScienceOn
4 Raqab, M. Z., Asgharzadeh. A. and Valiollahi, R. (2010). Prediction for Pareto distribution based on progressively Type-II censored samples, Computational Statistics and Data Analysis, 54, 1732-1743.   DOI   ScienceOn
5 Asgharzadeh, A. and Valiollahi, R. (2010). Prediction intervals for proportional hazard rate models based on progressively Type-II censored samples, Communications of the Korean Statistical Society, 17, 99-106.   과학기술학회마을   DOI   ScienceOn
6 Balakrishnan, N. and Nevzorov, V. B. (2003). A Primer on Statistical Distribution, John Willey & Stone, New York.
7 Balakrishnan, N. and Sandhu, R. A. (1995). A simple simulational algorithm for generating progres-sive Type-II censored samples, The American Statistician, 49, 229-230.
8 Balakrishnan, N., Kannan, N., Lin, C. T. and Ng, H. K. T. (2003). Point and interval estimation for Gaussian distribution based on progressively Type-II censored samples, IEEE Transactions on Reliability, 52, 90-95.   DOI   ScienceOn
9 Basak, I. and Balakrishnan, N. (2009). Predictors of failure times of censored units in progressively censored samples form normal distribution, Sankhya Series B, Part 2, 71, 222-247.
10 Johnson, D. (1997). The triangular distribution as a proxy for the beta distribution in risk analysis, The Statistician, 46, 387-398.
11 Juola, R. C. (1993). More on shortest confidence intervals, The American Statistician, 47, 117-119.
12 Kang, S. B. (2007). Estimation in a half triangle distribution based on multiply Type-II censored samples, Journal of the Korean Data & Information Science Society, 18, 793-801.   과학기술학회마을
13 Kang, S. B., Cho, Y. S. and Han, J. T. (2008). Estimation for the half logistic distribution under progressively Type-II censoring, Communications of the Korean Statistical Society, 15, 815-823.   DOI