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تقدير دوال الفشل للتوزيع الناتج من دمج توزيع بواسون ليندلي مع توزيعات اخرى == Estimating The Functions Failure Which Gains From Compound Poisson Lindley Distribution With Other Distributions
Author name:
علي بندر نعيمة
Supervisor name:
عماد حازم عبودي
General topic:
Administration and Economics
Specific topic:
Statistics
Degree:
Doctorate
University:
University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language:
Arabic
University location:
Baghdad
First pages:
07T3871 - p.pdf
Abstract:
In this thesis we studied to find the way for choosing the best distribution depending on initial distribution for the real sample size via deriving two new distributions such as (Fréchet distribution with Poisson Lindely and Rayleigh distribution with Poisson Lindely) and comparisons between them which is Poisson Lindely with another group of standard distributions by using some of standard measures. The real data recorded from the earthquake (1994 - 2014) in the Badraah city - Waste Governorate from the Iraqi Metrological and seismology. Furthermore, by using Easy fit software program to determine the primary distribution (represents the number of days occurs around a couple of two earthquakes have been done sequenced). Hence, the new distribution is Fréchet distribution which the most popular distribution represented the sample size of real data. On the other hand, two estimations were done the failure functions and reliability functions to find the best fitting distributions. Then the result shows that the failure function is increasing with time while, the reliability functions are decreasing with time. Consequently, after we obtain the best distributions we estimate the parameters of this new distribution (Fréchet Poisson Lindely) by using two methods DLS and MLS. Finally, the results indicate that DLS is the best rather than MLS to estimate these parameters via using Matlab software code which is written by researcher
