مجله ماشین بینایی و پردازش تصویر

مجله ماشین بینایی و پردازش تصویر

آمیخته‌های توزیع دوگانه لگ-تی: برآورد پارامترها و کاربرد آن در بخش‌بندی تصاویر

نوع مقاله : مقاله پژوهشی

نویسنده
گروه آمار، دانشکده علوم ریاضی، دانشگاه ولی عصر (عج) رفسنجان، رفسنجان، ایران
چکیده
خانواده توزیع‌های دوگانه لگ-تی به عنوان مدلی جدید برای مدل‌سازی داده‌های نامتقارن و کراندار در بازه (0،1) پیشنهاد شده ‌است. برخی از خصوصیات و ویژگی‌های احتمالی آن و توسیع آن به مدل‌های آمیخته مورد بحث قرار گرفته‌اند. بر اساس نوعی نمایش تصادفی این توزیع‌ها، یک الگوریتم امید بیشینه سازی برای برآورد پارامترهای مدل پیشنهاد می‌شود. با توجه به کاربرد مدل‌های آمیخته در بخش‌بندی داده‌ها و همچنین با در نظر گرفتن مقادیر عددی پیکسل‌های تصویر در بازه (0،1)، آزمایشی را بر روی یک مجموعه تصویر طبیعی انجام می‌دهیم. نتایج به‌دست‌آمده، کارایی و سودمندی روش پیشنهادی را در مقایسه با توزیع‌های کراندار و غیر کراندار مرسوم نشان می‌دهد.
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