Optimization algorithms provides efficient solutions to many statistical problems. Essentially,
the design of sampling plans for lot acceptance purposes is an optimization problem with …

Assuming that the proportion defective in a production process p is variable and the
component lifetimes are Weibull distributed, integer nonlinear programming problems are …

This paper presents two families of joint confidence sets for the Pareto shape and precision
parameters based on progressively censored data, which include the existing regions in the …

Available joint confidence sets for the parameters of the Pareto model are not the regions
with minimum area. In order to determine the smallest joint confidence region among all …

In many reliability analyses, the probability of obtaining a defective unit in a production
process should not be considered constant even though the process is stable and in control …

Constrained optimization problems are solved to determine the best reliability sampling
plans for k-out-of-n: F systems of gamma distributed components. As usual, the constraints …

Assuming that the probability of obtaining a defective unit in a production process, p, is not
constant, a versatile methodology is presented for determining optimal failure-censored …

This paper deals with the problem of determining statistical tolerance limits for the time-to-
failure of a k-out-of-n: F system from component life data. The lifetimes of the components …

Exact guaranteed-coverage and expected-coverage Bayesian tolerance limits for the
lifetime distribution of a k-out-of-n: F system are computed by solving nonlinear equations …

Guaranteed-coverage and expected-coverage tolerance limits for Weibull models are
derived when, owing to restrictions on data collection, experimental difficulties, the presence …