000			nam a22 4500
999			_c32754 _d32754
008			240216b xxu||||| |||| 00| 0 eng d
020			_a9781441994752
082			_a519.23 _bBEZ
100			_aBezandry, Paul H.
245			_aAlmost periodic stochastic processes
260			_bSpringer, _aNew York : _c2011
300			_axv, 235 p. ; _bill., _c24 cm.
365			_b99.99 _c€ _d94.80
504			_aIncludes bibliographical references and index.
520			_aAlmost Periodic Stochastic Processes is among the few published books that is entirely devoted to almost periodic stochastic processes and their applications.¡ The topics treated range from existence, uniqueness, boundedness, and stability of solutions, to stochastic difference and differential equations. Motivated by the studies of the natural fluctuations in nature, this work aims to lay the foundations for a theory on almost periodic stochastic processes and their applications. This book is divided in to eight chapters and offers useful bibliographical notes at the end of each chapter. Highlights of this monograph include the introduction of the concept of p-th mean almost periodicity for stochastic processes and applications to various equations. The book offers some original results on the boundedness, stability, and existence of p-th mean almost periodic solutions to (non)autonomous first and/or second order stochastic differential equations, stochastic partial differential equations, stochastic functional differential equations with delay, and stochastic difference equations.¡ Various illustrative examples are also discussed throughout the book. The results provided in the book will be of particular use to those conducting research in the field of stochastic processing including engineers, economists, and statisticians with backgrounds in functional analysis and stochastic analysis.¡¡ Advanced graduate students with backgrounds in real analysis, measure theory, and basic probability, may also find the material in this book quite useful and engaging.
650			_aAnalytic semigroup
650			_aBeverton-Holt recruitment function
650			_aCauchy-Schwarz Inequality
650			_aDoob inequality
650			_aGaussian process
650			_aHille-Yosida theorem
650			_aJensen inequality
650			_aMarkov process
650			_aOrthogonal system
650			_aParallelogram Law;
650			_aSchauder fixed point theorem
700			_aDiagana, Toka
942			_2ddc _cBK