caa a22 4500 606196471 CHVBK 20210128100924.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10260-014-0265-8 doi (NATIONALLICENCE)springer-10.1007/s10260-014-0265-8 Barakat H. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt aut A new method for adding two parameters to a family of distributions with application to the normal and exponential families [Elektronische Daten] [H. Barakat] In this paper we introduce a new method to add two parameters to a family of distributions. Through the additional parameters we can fully control the skewness and kurtosis of the resulting family. This method is applied to yield a new two-parameter extension of the standard normal distribution, which may be positively-negatively asymmetric and leptokurtic-platykurtic. In addition, this method is applied to yield a new three-parameter extension of the exponential distribution, which may be symmetric and has non-constant hazard rate function. Springer-Verlag Berlin Heidelberg, 2014 Parametric family nationallicence Mixture distributions nationallicence Skew normal distribution nationallicence Symmetric exponential distribution nationallicence Skewness nationallicence Kurtosis nationallicence Statistical Methods & Applications Springer Berlin Heidelberg 24/3(2015-09-01), 359-372 1618-2510 24:3<359 2015 24 10260 https://doi.org/10.1007/s10260-014-0265-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10260-014-0265-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Barakat H. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt aut NATIONALLICENCE 773 0- Statistical Methods & Applications Springer Berlin Heidelberg 24/3(2015-09-01), 359-372 1618-2510 24:3<359 2015 24 10260