TY - JOUR JF - srtc-jsri JO - JSRI VL - 12 IS - 2 PY - 2016 Y1 - 2016/3/01 TI - Shrinkage Testimation in Exponential Distribution based on Records under Asymmetric Squared Log Error Loss TT - آزماوردن انقباضی در توزیع‌ نمایی بر پایه‌ی رکوردها تحت زیان توان دوم لگ‌خطای نامتقارن N2 - Received: 1/9/2016 Approved: 6/1/2016‎ In the present paper, we study shrinkage testimation for the unknown scale parameter $theta>0$ of the exponential distribution based on record data under the asymmetric squared log error loss function. A minimum risk unbiased estimator within the class of the estimators of the form $cT_m$ is derived, where $T_m$ is the maximum likelihood estimate of $theta$. Some shrinkage testimators are proposed and their risks are computed. The relative efficiencies of the shrinkage testimators with respect to a minimum risk unbiased estimator of the form $cT_m$ under the squared log error loss function are calculated for the comparison purposes. An illustrative example is also presented. SP - 225 EP - 238 AU - Naghizadeh Qomi, M. AU - Barmoodeh, L. AD - KW - Digamma function KW - exponential distribution KW - records KW - shrinkage testimators. UR - http://jsri.srtc.ac.ir/article-1-196-en.html DO - 10.18869/acadpub.jsri.12.2.225 ER -