منابع مشابه
Moment Generating Functions
1 Generating Functions 1.1 The ordinary generating function We define the ordinary generating function of a sequence. This is by far the most common type of generating function and the adjective “ordinary” is usually not used. But we will need a different type of generating function below (the exponential generating function) so we have added the adjective “ordinary” for this first type of gene...
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The class of generating functions for completely monotone sequences (moments of finite positive measures on [0, 1]) has an elegant characterization as the class of Pick functions analytic and positive on (−∞, 1). We establish this and another such characterization and develop a variety of consequences. In particular, we characterize generating functions for moments of convex and concave probabi...
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In this work we study numbers and polynomials generated by two type of composition of generating functions and get their explicit formulae. Furthermore we state an improvementof the composita formulae's given in [6] and [3], using the new composita formula's we construct a variety of combinatorics identities. This study go alone to dene new family of generalized Bernoulli polynomials which incl...
متن کاملConditional Moment Generating Functions for Integrals and Stochastic Integrals
In this paper we present two methods for computing filtered estimates for moments of integrals and stochastic integrals of continuous-time nonlinear systems. The first method utilizes recursive stochastic partial differential equations. The second method utilizes conditional moment generating functions. An application of these methods leads to the discovery of new classes of finitedimensional f...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2011
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.11.027