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طرح های توجیهی صنعت و معدن - مقاله توزیع گامای ایجاد شده براساس خانواده های بتا و استنباط مرتبط

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نویسنده :سونار سونا
تاریخ:سه شنبه 2 تیر 1394-05:14 ق.ظ

مقاله توزیع گامای ایجاد شده براساس خانواده های بتا و استنباط مرتبط

عنوان انگلیسی مقاله: On families of beta- and generalized gamma-generated distributions and associated inference
عنوان فارسی مقاله: توزیع های و عمومیت دادن گامای ایجاد شده براساس خانواده های بتا و استنباط مرتبط
دسته: آمار و ریاضی
فرمت فایل ترجمه شده: WORD (قابل ویرایش)
تعداد صفحات فایل ترجمه شده: 26
ترجمه ی سلیس و روان مقاله آماده ی خرید می باشد.
_______________________________________
چکیده ترجمه:
یک خانواده کلی و عمومی برای توزیع های یک متغیری به وسیله متغیرهای تصادفی بتا ایجاد شده است که به وسیله Jones پیشنهاد داده شده بود که اخیرا در مقاله ای مورد بحث قرار گرفته بود. این خانواده از توزیع های فرایندی دارای قابلیت انعطاف بسیار عالی هستند در حالی که دارای تناسب متقارن و به علاوه مدل های اریب با وزن های دامنه ای متغیر هستند. در یک روشی مشابه، ما در این جا خانواده ای از توزیع های تک متغیره ایجاد شده توسط عمومی کردن متغیرهای گامای Stacy را تعریف کردیم. برای این دو خانواده از توزیع های تک متغیره، ما در مورد حداکثر مشخصات انتروپی تحت محدودیت های مناسب بحث می کنیم. براساس این مشخصات، یک نسبت از چگالی های چارک برای فرق گذاری و تمیز دادن اعضای این دو توزیع ها در حیطه خانواده ها مورد انتظار می باشد. چندیت مورد خاص از این نتایج سپس مطرح و برجسته می گردد. یک روش دیگر تحت عنوان روش معمول گشتاورها همچنین برای تخمین زدن پارامترها پیشنهاد شده است و شکل این تخمین زننده ها به صورت خاصی متمایل به این دو نوع خانواده از توزیع ها می باشد.
کلیدواژه:
توزیع های ایجاد کننده بتا, تعمیم دادن توزیع گامای Stacy, توزیع نمایی بتا- تمایز و افتراق بین توزیع ها, حداکثر اصول انتروپی,  انتروپی انتخابی بین دو واقعه با احتمال یکسان
1- مقدمه
اخیرا تلاش ها منجر به ایجاد شدن تعریف جدیدی از خانواده هایی مربوط به توزیع های احتمالی شده است که دارای توزیع های خانواده ای معروفی هستند و در زمانی مشابه انعطاف پذیری عالی و بسیار خوبی را در مدل سازی کردن داده ها در عمل فراهم می سازند. چنین مثالی یک خانواده وسیعی از توزیع های تک متغیره ایجاد شده از توزیع بتا می باشد که به وسیله Jones پیشنهاد داده شده است (1) (همچنین منبع 2 را ببینید) که توزیع های مربوط به خانواده های بتای اصلی را با مشارکت دو پارامتر دیگر را ارتقا می دهد. این پارامترها چولگی ها و دامنه وزنی را کنترل می کنند. در ابتدا با هدفی مشابه، Eugene و همکاران (3) خانواده ای از توزیع های طبیعی بتا را تعریف کردند و در مورد مشخصات آن ها بحث کردند.





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