ﺑﺮآورد ﺗﺎﺑﻊ ﭼﮕﺎﻟﯽ ﺟﻤﻌﯿﺖ در روش ﻧﻤﻮﻧﻪ ﮔﯿﺮي ﺗﺮاﺑﺮﺷﯽ ﺧﻄﯽ ﺑﺎ ﺗﻮاﺑﻊ آﺷﮑﺎر ﺳﺎز

Estimation of Population Density Function in Line Transect Sampling Method with Detection Functions

ﻫﺪف اﯾﻦ ﻣﻘﺎﻟﻪ ﯾﺎﻓﺘﻦ ﺑﺮآوردﮔﺮﻫﺎﯾﯽ ﻣﻨﺎﺳﺐ ﺑﺮاي ﺗﺎﺑﻊ ﭼﮕﺎﻟﯽ ﺟﻤﻌﯿﺖ آﻣﺎري ﺑﺎ روش ﻧﻤﻮﻧﻪ ﮔﯿﺮي ﺗﺮاﺑﺮﺷﯽ ﺧﻄﯽ در ﺣﻀﻮر ﺗﻮاﺑﻊ آﺷﮑﺎر ﺳﺎز ﺑﺎ ﺗﻮزﯾﻊ ﻫﺎي ﺑﺎ دم ﻫﺎي ﺳﺒﮏ و ﺳﻨﮕﯿﻦ اﺳﺖ، ﺑﻌﻼوه ﻧﺸﺎن داده ﻣﯽ ﺷﻮد ﮐﻪ ﭼﮕﻮﻧﻪ ﻧﻮع ﺗﺎﺑﻊ آﺷﮑﺎر ﺳﺎز ﻣﯽ ﺗﻮاﻧﺪ در اﻧﺘﺨﺎب ﺑﻬﺘﺮﺑﻦ ﺑﺮآوردﮔﺮ ﺗﺎﺛﯿﺮﮔﺬار ﺑﺎﺷﺪ. ﺳﭙﺲ ﺑﺮآوردﮔﺮي ﻧﺎارﯾﺐ ﭘﯿﺸﻨﻬﺎد ﻣﯽ ﺷﻮد ﮐﻪ داراي وارﯾﺎﻧﺲ ﮐﻤﺘﺮي ﻧﺴﺒﺖ ﺑﻪ ﺑﺮآوردﮔﺮ ﻫﺎي ﻣﻮﺟﻮد اﺳﺖ. در ﻣﻄﺎﻟﻌﻪ ا ي ﺷﺒﯿﻪ ﺳﺎزي ﻧﺸﺎن داده ﻣﯽ ﺷﻮد اﮔﺮ ﺗﻮاﺑﻊ آﺷﮑﺎر ﺳﺎز داراي ﺗﻮزﯾﻊ دم ﺳﺒﮏ ﺑﺎﺷﻨﺪ، ﺑﺮآوردﮔﺮﻫﺎي ﺟﺪﯾﺪ داراي ﮐﻤﺘﺮﯾﻦ ﻣﯿﺎﻧﮕﯿﻦ ﺗﻮان دوم ﺧﻄﺎ ﺧﻮاﻫﻨﺪ ﺑﻮد.

n this article, we wish to find and select appropriate estimators for statistical population density function using line transect sampling in the present of detection functions with light and heavy tailed distributions. Also it is shown that how the type of detection function could be effective in selection of the best estimator and then we propose a unbiased estimators that has the lower variance than the existed estimators. the simulation results show that if detection functions have heavy tailed distribution, then the new estimators have least mean square error.