Sample Size Determination for Tolerance Limits

The problem of determining sample size to take for a tolerance limit L(X), where L(X) is a function of a random sample X ₁, …, X_n from a distribution with density f(x : θ), and

is investigated. A criteriorl of “goodness” of tolerance limits is developed and a method given, using this criterion, for solving the sample size problem. Examples are given using the uniform, exponential, and normal distributions as underlying models.