{"id":1780,"date":"2022-01-24T13:18:11","date_gmt":"2022-01-24T13:18:11","guid":{"rendered":"https:\/\/akademperiodyka.org.ua\/en\/?p=1780"},"modified":"2025-07-10T08:51:37","modified_gmt":"2025-07-10T08:51:37","slug":"introduction_to_probability_theory","status":"publish","type":"post","link":"https:\/\/akademperiodyka.org.ua\/en\/books\/introduction_to_probability_theory\/","title":{"rendered":"Introduction to Probability Theory"},"content":{"rendered":"<div id=\"page\" class=\"clearfix\">\n<div id=\"main-content\">\n<div class=\"container\">\n<div class=\"row\">\n<section class=\"col-md-8\">\n<div id=\"main\" class=\"clearfix\">\n<div id=\"content-wrapper\">\n<article id=\"node-391\" class=\"node node-book clearfix\">\n<div class=\"content\">\n<div class=\"field field-name-field-book-project field-type-taxonomy-term-reference field-label-inline clearfix\">\n<div class=\"field-item even\">Project: Ukrainian scientific book in a foreign language<\/div>\n<\/div>\n<div class=\"field field-name-field-book-author field-type-name field-label-inline clearfix\">\n<div class=\"field-item even\">Authors: <strong>G.P. Butsan<\/strong><\/div>\n<\/div>\n<div class=\"field field-name-field-book-year field-type-number-integer field-label-inline clearfix\">\n<div class=\"field-item even\">Year: 2012<\/div>\n<\/div>\n<div class=\"field field-name-field-pages field-type-text field-label-inline clearfix\">\n<div class=\"field-item even\">Pages: 249<\/div>\n<\/div>\n<div class=\"field field-name-field-book-isbn field-type-text field-label-inline clearfix\">\n<div class=\"field-item even\">ISBN: 978-966-360-209-7<\/div>\n<\/div>\n<div class=\"field field-name-field-book-publication-language field-type-taxonomy-term-reference field-label-inline clearfix\">\n<div class=\"field-item even\">Publication Language: English<\/div>\n<\/div>\n<div class=\"field field-name-field-book-publisher field-type-text field-label-inline clearfix\">\n<div class=\"field-item even\">Publisher: PH &#8220;Akademperiodyka&#8221;<\/div>\n<\/div>\n<div class=\"field field-name-field-book-place-published field-type-text field-label-inline clearfix\">\n<div class=\"field-item even\">Place Published: Kyiv<\/div>\n<\/div>\n<div class=\"field field-name-field-book-doi field-type-link-field field-label-inline clearfix\">\n<div class=\"field-item even\">doi: <a href=\"https:\/\/doi.org\/10.15407\/akademperiodyka.209.249\">https:\/\/doi.org\/10.15407\/akademperiodyka.209.249<\/a><\/div>\n<\/div>\n<\/div>\n<\/article>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div><\/div>\n<div><\/div>\n<div>\n<hr \/>\n<\/div>\n<div id=\"page\" class=\"clearfix\">\n<div id=\"main-content\">\n<div class=\"container\">\n<div class=\"row\">\n<section class=\"col-md-8\">\n<div id=\"main\" class=\"clearfix\">\n<div id=\"content-wrapper\">\n<article id=\"node-391\" class=\"node node-book clearfix\">\n<div class=\"content\">\n<div class=\"field field-name-body field-type-text-with-summary field-label-hidden\">\n<div class=\"field-items\">\n<div class=\"field-item even\">\n<div class=\"rtejustify\">This book is intended even if partially to compensate the absence of some short introduction to Probability Theory in English in Ukraine and can be useful to both students of Ukrainian technical universities and their teachers, as well as to all technicians and engineers whose work concerns the theory. This book deals with the typical problems which occur in practice and contemporary technologies as well as gives the initial acquaintance with Probability Theory which requires consideration of great deal of examples that would help develop a spatial probability-theoretical and probabilistic intuition, and the ability to connect abstract ideas with practical situations. The presentation of elements of the theory of random processes and elements of the statistics was mainly determined by the need of students of technical universities and their level of knowledge and mathematical analysis and elements of functional analysis in the frame of training programs for such universities and, respectively, by the number of training hours for the presentation of the subject and is accessible to undergraduates.<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/article>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div><\/div>\n<div>\n<hr \/>\n<\/div>\n<div id=\"page\" class=\"clearfix\">\n<div id=\"main-content\">\n<div class=\"container\">\n<div class=\"row\">\n<section class=\"col-md-8\">\n<div id=\"main\" class=\"clearfix\">\n<div id=\"content-wrapper\">\n<article id=\"node-391\" class=\"node node-book clearfix\">\n<div class=\"content\">\n<div class=\"field field-name-field-references field-type-text-long field-label-above\">\n<div class=\"field-label\">References:<\/div>\n<div class=\"field-items\">\n<div class=\"field-item even\">\n<p class=\"rtejustify\">1. Bernstein C.N. Probability Theory. &#8211; Moscow. &#8211; Publ. House Gostekhizdat. &#8211; 1946.<\/p>\n<p class=\"rtejustify\">2. Fikhtengoltz G.M. Curse for differential and integral calculation. &#8211; Moscow. &#8211; Publ. House Nauka. &#8211; 1969.<\/p>\n<p class=\"rtejustify\">3. Gnedenko B.V. Course on Probability Theory. &#8211; Moscow. &#8211; Publ. House Nauka. &#8211; 1988.<\/p>\n<p class=\"rtejustify\">4. Gurskiy E.I. Probability Theory with the elements of mathematical statistics. &#8211; Moscow. &#8211; Publ. House Vischaya shkola. &#8211; 1971.<\/p>\n<p class=\"rtejustify\">5. Hykhman I.I., Skorokhod A.V. Introduction to the theory of random processes. &#8211; Moscow. &#8211; Publ. House Nauka. &#8211; 1977.<\/p>\n<p class=\"rtejustify\">6. Kolmogorov A.N. Fundamental notions of Probability Theory. &#8211; Moscow. &#8211; Publ. House Nauka. &#8211; 1974.<\/p>\n<p class=\"rtejustify\">7. Pugachev V.S. The theory of random functions and its implementation for the problems of automatic control theory. &#8211; Moscow. &#8211; Publ. House Phizmatgiz. &#8211; 1960.<\/p>\n<p class=\"rtejustify\">8. Privalov I.I. Introduction to the theory for the functions of the complex varia tions. &#8211; Moscow. &#8211; Publ. House Nauka. &#8211; 1967.<\/p>\n<p class=\"rtejustify\">9. Shiryaev A.N. Probability. &#8211; Moscow. &#8211; Publ. House Nauka. &#8211; 1980.<\/p>\n<p class=\"rtejustify\">10. Ventsel E.C. Probability theory. &#8211; Moscow. &#8211; Publ. House Phizmatgiz. &#8211; 1958.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/article>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<footer id=\"subfooter\" class=\"clearfix\">\n<div class=\"container\">\n<div id=\"subfooter-inside\" class=\"clearfix\">\n<div class=\"row\">\n<div class=\"col-md-12\">\n<div class=\"subfooter-area\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/footer>\n","protected":false},"excerpt":{"rendered":"<p>Project: Ukrainian scientific book in a foreign language Authors: G.P. Butsan Year: 2012 Pages: 249 ISBN: 978-966-360-209-7 Publication Language: English Publisher: PH &#8220;Akademperiodyka&#8221; Place Published: Kyiv doi: https:\/\/doi.org\/10.15407\/akademperiodyka.209.249 This book is intended even if partially to compensate the absence of some short introduction to Probability Theory in English in Ukraine and can be useful to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1781,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,21,24],"tags":[],"class_list":["post-1780","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-books","category-scientific_monographs","category-ukrainian_scientifical_book"],"_links":{"self":[{"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/posts\/1780","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/comments?post=1780"}],"version-history":[{"count":4,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/posts\/1780\/revisions"}],"predecessor-version":[{"id":3555,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/posts\/1780\/revisions\/3555"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/media\/1781"}],"wp:attachment":[{"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/media?parent=1780"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/categories?post=1780"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/akademperiodyka.org.ua\/en\/wp-json\/wp\/v2\/tags?post=1780"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}