Skip to main content
padlock icon - secure page this page is secure

Exact inferences of the two-parameter exponential distribution and Pareto distribution with censored data

Buy Article:

$61.00 + tax (Refund Policy)

We develop an exact inference for the location and the scale parameters of the two-exponential distribution and the Pareto distribution based on their maximum-likelihood estimators from the doubly Type-II and the progressive Type-II censored sample. Based on some pivotal quantities, exact confidence intervals and tests of hypotheses are constructed. Exact distributions of the pivotal quantities are expressed as mixtures of linear combinations and of ratios of linear combinations of standard exponential random variables, which facilitates the computation of quantiles of these pivotal quantities. We also provide a bootstrap method for constructing a confidence interval. Some simulation studies are carried out to assess their performances. Using the exact distribution of the scale parameter, we establish an acceptance sampling procedure based on the lifetime of the unit. Some numerical results are tabulated for the illustration. One biometrical example is also given to illustrate the proposed methods.
No Reference information available - sign in for access.
No Citation information available - sign in for access.
No Supplementary Data.
No Article Media
No Metrics

Keywords: Pareto distribution; acceptance sampling plan; exact inference; maximum-likelihood estimation; pivotal quantity; two-parameter exponential distribution

Document Type: Research Article

Affiliations: 1: School of Mathematics and Computation Science, Zhanjiang Normal University, Zhanjiang, Guangdong, 524048, People's Republic of China 2: School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, People's Republic of China 3: School of Management, Lanzhou University, Lanzhou, Gansu, 730000, People's Republic of China

Publication date: July 1, 2013

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
X
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more