Bayesian prediction for progressively type-II censored data from the Rayleigh model. (English) Zbl 1081.62022
Summary: The Rayleigh distribution is proposed to be the underlying model from which observables are to be predicted by a Bayesian approach. Progressively Type-II censored data from the Rayleigh distribution are considered and a two-sample prediction technique is used. Numerical computations and simulations are given to illustrate the performance of the procedures.
MSC:
62F15 | Bayesian inference |
62N05 | Reliability and life testing |
62N01 | Censored data models |
65C60 | Computational problems in statistics (MSC2010) |
Keywords:
Bayesian prediction; progressively type-ii censoring; Rayleigh distribution; simulation; two samples predictionReferences:
[1] | Aggarwala , R. ( 1996 ). Advances in Life Testing: Progressive Censoring and Generalized Distribution. Ph. D. thesis, McMaster University . |
[2] | DOI: 10.1007/BF00052331 · Zbl 1007.62512 · doi:10.1007/BF00052331 |
[3] | DOI: 10.1016/S0378-3758(97)00173-0 · Zbl 1067.62538 · doi:10.1016/S0378-3758(97)00173-0 |
[4] | DOI: 10.1080/00949650108812140 · Zbl 1003.62022 · doi:10.1080/00949650108812140 |
[5] | DOI: 10.1016/S0898-1221(02)00110-4 · Zbl 1019.62093 · doi:10.1016/S0898-1221(02)00110-4 |
[6] | DOI: 10.1007/s00362-002-0126-7 · Zbl 1008.62029 · doi:10.1007/s00362-002-0126-7 |
[7] | DOI: 10.2307/2684646 · doi:10.2307/2684646 |
[8] | Balakrishnan N., Sankhya pp 1– (1996) |
[9] | Balakrishnan N., Progressive Censoring: Theory, Methods and Applications (2000) |
[10] | DOI: 10.1016/S0167-7152(01)00104-3 · Zbl 0988.62027 · doi:10.1016/S0167-7152(01)00104-3 |
[11] | DOI: 10.1109/TR.1987.5222306 · Zbl 0626.62101 · doi:10.1109/TR.1987.5222306 |
[12] | DOI: 10.2307/1267922 · Zbl 0331.62025 · doi:10.2307/1267922 |
[13] | DOI: 10.1007/BF00050853 · Zbl 0925.62424 · doi:10.1007/BF00050853 |
[14] | Cramer E., Econom Qual. Control 13 pp 227– (1998) |
[15] | Dyer D. D., IEEE Trans. Reliabil. pp 455– (1973) |
[16] | DOI: 10.1016/S0167-7152(00)00021-3 · Zbl 0955.62103 · doi:10.1016/S0167-7152(00)00021-3 |
[17] | DOI: 10.1109/TR.1983.5221484 · Zbl 0518.62077 · doi:10.1109/TR.1983.5221484 |
[18] | DOI: 10.1109/TR.1985.5221968 · Zbl 0565.62081 · doi:10.1109/TR.1985.5221968 |
[19] | DOI: 10.1080/03610929508831614 · Zbl 0937.62574 · doi:10.1080/03610929508831614 |
[20] | DOI: 10.1080/02331880108802736 · Zbl 0979.62036 · doi:10.1080/02331880108802736 |
[21] | DOI: 10.2307/1267165 · Zbl 0226.62099 · doi:10.2307/1267165 |
[22] | DOI: 10.1137/0115130 · Zbl 0158.37806 · doi:10.1137/0115130 |
[23] | DOI: 10.1109/14.2376 · doi:10.1109/14.2376 |
[24] | Polovko A. M., Fundamentals of Reliability Theory (1968) · Zbl 0187.16503 |
[25] | DOI: 10.1080/03610929608831784 · Zbl 0900.62259 · doi:10.1080/03610929608831784 |
[26] | DOI: 10.1016/S0167-9473(96)00082-5 · Zbl 0900.62255 · doi:10.1016/S0167-9473(96)00082-5 |
[27] | DOI: 10.1080/00949650214670 · doi:10.1080/00949650214670 |
[28] | Siddiqui M. M., J. Res. Nat. Bur. Stand. D pp 167– (1962) |
[29] | DOI: 10.2307/1269201 · Zbl 0800.62623 · doi:10.2307/1269201 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.