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Structural inference on the generalized gamma distribution based on type-II progressively censored sample

Published online by Cambridge University Press:  09 April 2009

M. S. Maswadah
Affiliation:
Department of Mathematics Faculty of Science Aswan, Egypt
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Abstract

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This paper is concerned with the three-parameter generalized gamma distribution (g.g.d.) which is widely employed as a model in life testing. The structural probability distributions of the parameters and a number of structural prediction densities for specific future measurements have been derived based on type-Il progressively censored sample.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Bernholtz, B., ‘Type-I censoring and the structural approach’, Statist. Hefte 17 (1971), 212.Google Scholar
[2]Bury, K. V. and Bernholtz, B., ‘On structural inference applied to the Weibull distribution’, Statist. Hefte 12 (1971), 177192.CrossRefGoogle Scholar
[3]Bury, K. V. and Bernholtz, B., ‘Structural inference for a class of stochastic process’, INFOR—Canad. J. Oper. Res. Inform. Process. 9, No. I (1970), 2331.Google Scholar
[4]Bury, K. V. and Bernholtz, B., ‘Life testing: Structural inference on the exponential model’, INFORM—Canad. J. Oper. Res. Inform. Process. 9, No. 2 (1971), 148160.Google Scholar
[5]Fraser, D. A. S., The structural of inference, (John Wiley & Sons, New York, 1968).Google Scholar
[6]Maswadh, M. S., ‘Two approaches based on the structural model to inference on the generalized gamma parameters’, Egyptian Statist. J., to appear.Google Scholar
[7]Tan, P., ‘Four approaches to inference on Weibull parameters’, Utilitas Math. 6 (1974), 111120.Google Scholar
[8]Tan, P. and Bernholtz, B., ‘Applications of structural models in statistics’, Math. Sci. 5 (1980), 3144.Google Scholar
[9]Whitney, J. B. and Minder, Ch. E., ‘Time censoring and the structural model’, Statist. Hefte 15 (1974), 2735.CrossRefGoogle Scholar