Starting from a standard pivot, exact inference for the pth-quantile and for the reliability of the two-parameter exponential distribution in case of singly Type II censored samples is developed in this article. Fernandez (2007) first obtained some of the results proposed in this article, but, differently from what are proposed here, and developed his theory starting from a generalized pivot. An illustrative example shows that, with the expressions proposed in this article, it is also possible to overcome some shortcomings raising from the formulas by Fernandez (2007). Finally, a new expression for the moments of the pivot is obtained.

Exact inference for the pth-quantile and the reliability of the two-parameter exponential distribution with singly type II censoring: a standard approach / Paolino, Davide Salvatore. - In: COMMUNICATIONS IN STATISTICS. THEORY AND METHODS. - ISSN 0361-0926. - STAMPA. - 39:14(2010), pp. 2561-2572. [10.1080/03610920903068174]

Exact inference for the pth-quantile and the reliability of the two-parameter exponential distribution with singly type II censoring: a standard approach

PAOLINO, Davide Salvatore
2010

Abstract

Starting from a standard pivot, exact inference for the pth-quantile and for the reliability of the two-parameter exponential distribution in case of singly Type II censored samples is developed in this article. Fernandez (2007) first obtained some of the results proposed in this article, but, differently from what are proposed here, and developed his theory starting from a generalized pivot. An illustrative example shows that, with the expressions proposed in this article, it is also possible to overcome some shortcomings raising from the formulas by Fernandez (2007). Finally, a new expression for the moments of the pivot is obtained.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1996879
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