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Mathema Tics: L. Bers

Asymptotic MAP criteria for model selection

The two most popular model selection rules in the signal processing literature have been the Akaike’s criterion AIC and the Rissanen’s principle of minimum description length MDL. These rules are similar in form in that they both consist of data and penalty terms. Their data terms are identical, but the penalties are different, the MDL being more stringent toward overparameterization. The AIC p...

asymptotic property of order statistics and sample quntile

چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...

A Novel Image Encryption Model Based on Hybridization of Genetic Algorithm, Chaos Theory and Lattice Map

Encryption is an important issue in information security which is usually provided using a reversible mathematical model. Digital image as a most frequently used digital product needs special encryption algorithms. This paper presents a new encryption algorithm high security for digital gray images using genetic algorithm and Lattice Map function. At the first the initial value of Logistic Map ...

Image Encryption by Using Combination of DNA Sequence and Lattice Map

In recent years, the advancement of digital technology has led to an increase in data transmission on the Internet. Security of images is one of the biggest concern of many researchers. Therefore, numerous algorithms have been presented for image encryption. An efficient encryption algorithm should have high security and low search time along with high complexity.DNA encryption is one of the fa...