en عمومى General كاربردي Applicable <div style="text-align: justify;"><span style="font-size:11pt"><span style="line-height:normal"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt"><span new="" roman="" style="font-family:" times="">In this paper, we introduce a new skewed distribution of which normal and power normal distributions are two special cases. This distribution is obtained by taking geometric maximum of independent identically distributed power normal random variables. We call this distribution as the power normal--geometric distribution. Some mathematical properties of the new distribution are presented. Maximum likelihood estimates of parameters are obtained via an EM algorithm. Simulation experiments have been presented to evaluate the performance of the maximum likelihood. We analyze two data sets for illustrative purposes. Finally, we derive a bivariate version of the proposed distribution.</span></span></span></span></span></div> Geometric distribution, power normal distribution, EM algorithm. 95 111 http://jsri.srtc.ac.ir/browse.php?a_code=A-10-337-2&slc_lang=en&sid=1 Hamed Mahmoodian حامد محمودیان hamed_ mahmoodian@yahoo.com 10031947532846002394 10031947532846002394 Yes Meybod University