توزيع چوله-لاپلاس موزون دوپارامتري

The Two-parameter Weighted Skew Laplace Distribution

ﯾﮏ روش ﻣﻨﺎﺳﺐ در ﺑﺮازش داده ﻫﺎي ﻧﺎﻣﺘﻘﺎرن و ﺗﺤﻠﯿﻞ داده ﻫﺎﯾﯽ ﺑﺎ ﺳﺎﺧﺘﺎر ﻏﯿﺮ ﻧﺮﻣﺎل، اﺳﺘﻔﺎده از ﮐﻼس ﺗﻮزﯾﻊ ﻫﺎي وزن دار ﺷﺪه اﺳﺖ. در اﯾﻦ ﻣﻘﺎﻟﻪ ﺧﺎﻧﻮاده دﯾﮕﺮي از ﺗﻮزﯾﻊ ﻫﺎي ﭼﻮﻟﻪ-ﻻﭘﻼس ﺑﺮ اﺳﺎس ﺗﺎﺑﻊ وزن دو ﭘﺎراﻣﺘﺮي و ﺑﻪ ﻣﻨﻈﻮر ﺑﺮازش ﺑﻬﺘﺮ داده ﻫﺎﯾﯽ از ﺟﻮاﻣﻊ ﻧﺎﻣﺘﻘﺎرن ﭼﻨﺪ ﻣﺪي و ﻏﯿﺮ ﻧﺮﻣﺎل ﻣﻌﺮﻓﯽ ﻣﯽ ﺷﻮد. ﻫﻤﭽﻨﯿﻦ ﺑﺮﺧﯽ ﻣﺸﺨﺼﻪ ﻫﺎي اﺻﻠﯽ ﺗﻮزﯾﻊ از ﺟﻤﻠﻪ ﭼﻮﻟﮕﯽ و ﮐﺸﯿﺪﮔﯽ، ﺗﺎﺑﻊ ﻣﻮﻟﺪ ﮔﺸﺘﺎور و ﻏﯿﺮه ﻣﻮرد ﺑﺮرﺳﯽ ﻗﺮار ﮔﺮﻓﺘﻪ اﻧﺪ. در اﻧﺘﻬﺎ ﻧﯿﺰ ﮐﺎرﺑﺮد ﺗﻮزﯾﻊ ﺑﺮاي ﺑﺮازش ﺑﻪ داده ﻫﺎ، ﺑﺎ اﺳﺘﻔﺎده از ﯾﮏ ﻣﺠﻤﻮﻋﻪ داده واﻗﻌﯽ ﻣﻮرد ﺑﺮرﺳﯽ ﻗﺮار ﮔﺮﻓﺘﻪ اﺳﺖ.

In order to construct the asymmetric models and analyzing data set with asymmetric properties, an useful approach is the weighted model. In this paper, a new class of skew-Laplace distributions is introduced by considering a two-parameter weight function which is appropriate to asymmetric and multimodal data sets. Also, some properties of the new distribution namely skewness and kurtosis coefficients, moment generating function, etc are studied. Finally, The practical utility of the methodology is illustrated through a real data collection.