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Conditional inference for the parameters of Pareto distributions when observed samples are progressively censored. (English) Zbl 0957.62022

Balakrishnan, N. (ed.) et al., Advances in stochastic simulation methods. Selected papers at the 3rd St. Petersburg workshop on simulation, St. Petersburg, Russia, June 28 - July 3, 1998. Boston: Birkhäuser. Statistics for Industry and Technology. 293-302 (2000).
Summary: We develop procedures for obtaining confidence intervals for the location and scale parameters of a Pareto distribution as well as upper and lower \(\gamma\) probability tolerance intervals for a proportion \(\beta\) when the observed samples are progressively censored. The intervals are exact, and are obtained by conditioning on the observed values of the ancillary statistics. Since the procedures assume that the shape parameter \(\nu\) is known, a sensitivity analysis is also carried out to see how the procedures are affected by changes in \(\nu\).
For the entire collection see [Zbl 0942.00039].

MSC:

62F25 Parametric tolerance and confidence regions
62N05 Reliability and life testing