AU - Zare, Marjan AU - Asgharzadeh, Akbar AU - Bagheri, Seyed Fazel TI - Smallest Confidence Region for the Parameters of Two-Parameter Exponential Distribution PT - JOURNAL ARTICLE TA - JSS JN - JSS VO - 14 VI - 1 IP - 1 4099 - http://jss.irstat.ir/article-1-570-en.html 4100 - http://jss.irstat.ir/article-1-570-en.pdf SO - JSS 1 ABĀ  - In this paper, the smallest confidence region is obtained for the location and scale parameters of the two-parameter exponential distribution. For this purpose, we use constrained optimization problems. We first provide some suitable pivotal quantities to obtain a balanced confidence region. We then obtain the smallest confidence region by minimizing the area of the confidence region using the Lagrangian method. Two numerical examples are presented to illustrate the proposed methods. Finally, some applications of proposed joint confidence regions in hypothesis testing and the construction of confidence bands are discussed. CP - IRAN IN - Department of Statistics, Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran. LG - eng PB - JSS PG - 155 PT - Research YR - 2020