A probabilistic method in Hausdorff moment problem and Laplace-Stieltjes transform.

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A transformation from Hausdorff to Stieltjes moment sequences

We introduce a non-linear injective transformation T from the set of non-vanishing normalized Hausdorff moment sequences to the set of normalized Stieltjes moment sequences by the formula T [(an)]n = 1/(a1 · . . . · an). Special cases of this transformation have appeared in various papers on exponential functionals of Lévy processes, partly motivated by mathematical finance. We give several exa...

متن کامل

The Hausdorff entropic moment problem

Our aim in this paper is twofold. First, to find the necessary and sufficient conditions to be satisfied by a given sequence of real numbers $vn%n50 ` to represent the ‘‘entropic moments’’ * [0,a]@r(x)# dx of an unknown non-negative, decreasing and differentiable ~a.e.! density function r(x) with a finite interval support. These moments are called entropic moments because they are closely conne...

متن کامل

Solution of the Stieltjes Truncated Moment Problem

The conditions of solvability and description of all solutions of the truncated Stieltjes moment problem are obtained using as the starting point earlier results on the Hamburger truncated moment problem. An algebraic algorithm for the explicit solution of both problems is proposed.

متن کامل

Stieltjes moment problem via fractional moments

Stieltjes moment problem is considered to recover a probability density function from the knowledge of its infinite sequence of ordinary moments. The approximate density is obtained through maximum entropy technique, under the constraint of few fractional moments. The latter are numerically obtained from the infinite sequence of ordinary moments and are chosen in such a way as to convey the max...

متن کامل

Entropy-convergence in Stieltjes and Hamburger Moment Problem

In the classical Stieltjes and Hamburger's moment problem the sequence of maximum entropy approx-imants, whose rst M moments are equal to given ones, is considered. It is proved that whenever an innnite moment problem is determined then maximum entropy approximants converge in entropy to the function characterized by given moments. Entropy-convergence is proved by using exclusively existence an...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of the Mathematical Society of Japan

سال: 1960

ISSN: 0025-5645

DOI: 10.2969/jmsj/01220192