{"id":26480,"date":"2025-02-16T13:53:33","date_gmt":"2025-02-16T12:53:33","guid":{"rendered":"https:\/\/www.ummto.dz\/fs\/?p=26480"},"modified":"2025-02-16T14:28:14","modified_gmt":"2025-02-16T13:28:14","slug":"avis-de-soutenance-de-these-de-doctorat-en-sciences-mathematiques","status":"publish","type":"post","link":"https:\/\/www.ummto.dz\/fs\/avis-de-soutenance-de-these-de-doctorat-en-sciences-mathematiques\/","title":{"rendered":"AVIS DE SOUTENANCE DE THESE DE DOCTORAT EN-SCIENCES MATHEMATIQUES"},"content":{"rendered":"<p>[et_pb_section fb_built=\u00a0\u00bb1&Prime; _builder_version=\u00a0\u00bb4.27.4&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb width=\u00a0\u00bb120%\u00a0\u00bb custom_margin=\u00a0\u00bb|-175px||||\u00a0\u00bb custom_padding=\u00a0\u00bb|0px||||\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;][et_pb_row _builder_version=\u00a0\u00bb4.27.4&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.27.4&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_accordion _builder_version=\u00a0\u00bb4.27.4&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb width=\u00a0\u00bb100%\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;][et_pb_accordion_item title=\u00a0\u00bbAVIS DE SOUTENANCE DE THESE DE DOCTORAT EN-SCIENCES MATHEMATIQUES \u00a0\u00bb open=\u00a0\u00bbon\u00a0\u00bb _builder_version=\u00a0\u00bb4.27.4&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; border_color_all=\u00a0\u00bb#8300E9&Prime; box_shadow_style=\u00a0\u00bbpreset6&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;]<\/p>\n<p><span style=\"color: #ff0000\"><strong>Mme. \u00a0SLIMI Farida<\/strong><\/span><\/p>\n<p><span style=\"color: #000080\"><span style=\"color: #000000\">Soutiendra publiquement sa th\u00e8se de Doctorat en Sciences en<\/span> <strong>Math\u00e9matiques<\/strong><\/span><\/p>\n<p><span style=\"color: #000080\"><strong><span style=\"color: #000000\">Intitul\u00e9:<\/span>\u00a0<\/strong><strong>\u00ab ON BELL POLYNOMIALS AND THEIR APPLICATION ON TIME SERIES<\/strong><strong>.<\/strong> \u00bb<\/span><\/p>\n<p><span style=\"color: #000080\"><span style=\"color: #000000\">Le\u00a0:<\/span> <span style=\"color: #ff0000\"><strong>19\/02\/2025<\/strong> <\/span>\u00e0 <strong><span style=\"color: #ff0000\">09h30<\/span>, \u00e0 la salle de conf\u00e9rences de la facult\u00e9 des sciences\u00a0 \u00a0<\/strong><strong>de l\u2019UMMTO (Campus Hasnaoua II, dit aussi Bastos).<\/strong><\/span><\/p>\n<p><span style=\"color: #000080\"><strong><span style=\"color: #000000\">Directeur de Th\u00e8se\u00a0:<\/span> <span style=\"color: #ff0000\">Dr. \u00a0GOUBI Mouloud<\/span><\/strong><\/span><\/p>\n<p><span style=\"color: #000000\"><strong><u>Devant le jury d\u2019examen suivant\u00a0:<\/u><\/strong><\/span><span style=\"color: #000080\"><strong><u><\/u><\/strong><\/span><\/p>\n<table width=\"0\" border=\"1\" style=\"width: 602px\">\n<tbody>\n<tr>\n<td style=\"width: 198.562px\"><strong>M. \u00a0HAMADOUCHE Djamel<\/strong><\/td>\n<td style=\"width: 134.859px\"><strong>Professeure <\/strong><\/td>\n<td style=\"width: 109.109px\"><strong>UMMTO<\/strong><\/td>\n<td style=\"width: 131.469px\"><strong>Pr\u00e9sident<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 198.562px\"><strong>M. GOUBI Mouloud<\/strong><\/td>\n<td style=\"width: 134.859px\"><strong>MCA<\/strong><\/td>\n<td style=\"width: 109.109px\"><strong>UMMTO<\/strong><\/td>\n<td style=\"width: 131.469px\"><strong>Directeur de th\u00e8se <\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 198.562px\"><strong>M. BELBACHIR Hac\u00e8ne<\/strong><\/td>\n<td style=\"width: 134.859px\"><strong>Professeur<\/strong><\/td>\n<td style=\"width: 109.109px\"><strong>USTHB<\/strong><\/td>\n<td style=\"width: 131.469px\"><strong>Examinateur<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 198.562px\"><strong>M. \u00a0HAMAZ Abdelghani<\/strong><\/td>\n<td style=\"width: 134.859px\"><strong>Professeur<\/strong><\/td>\n<td style=\"width: 109.109px\"><strong>UMMTO<\/strong><\/td>\n<td style=\"width: 131.469px\"><strong>Examinateur<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 198.562px\"><strong>M. HAMDI Fay\u00e7al<\/strong><\/td>\n<td style=\"width: 134.859px\"><strong>Professeur<\/strong><\/td>\n<td style=\"width: 109.109px\"><strong>USTHB<\/strong><\/td>\n<td style=\"width: 131.469px\"><strong>Examinateur<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 198.562px\"><strong>Mme. MEZOUED Fatiha<\/strong><\/td>\n<td style=\"width: 134.859px\"><strong>Professeure<\/strong><\/td>\n<td style=\"width: 109.109px\"><strong>INPS<\/strong><\/td>\n<td style=\"width: 131.469px\"><strong>Examinatrice<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>La communaut\u00e9 universitaire est cordialement invit\u00e9e.<\/strong><\/p>\n<p><strong>T\u00e9l\u00e9charger : <a href=\"https:\/\/www.ummto.dz\/fs\/wp-content\/uploads\/2025\/02\/Avis-de-soutenance.-Mme-SLIMI-Farida.docx\" rel=\"attachment wp-att-26486\">Avis de soutenance. Mme SLIMI Farida<\/a><\/strong><\/p>\n<p>[\/et_pb_accordion_item][et_pb_accordion_item title=\u00a0\u00bbAbstract\u00a0\u00bb open_toggle_text_color=\u00a0\u00bb#E02B20&Prime; _builder_version=\u00a0\u00bb4.27.4&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; border_color_all=\u00a0\u00bb#8300E9&Prime; box_shadow_style=\u00a0\u00bbpreset6&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb open=\u00a0\u00bboff\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;]<\/p>\n<p style=\"text-align: justify\"><span style=\"color: #000080\">In the studies of autoregressive processes of order <em>p<\/em>, we are interested in the associated characteristic polynomial of degree <em>p<\/em>.\u00a0 Using its roots, we calculate the parameters of the infinite-order moving average process, the autocovariance function and the autocorrelation function. In this work, using generating functions, the Cauchy product of formal sequences and exponential Bell polynomials, we have succeeded in finding these parameters, depending only on the coefficients of the characteristics polynomial. A new proof of the Yule-Walker equation has thus been established.<\/span><\/p>\n<p><span style=\"color: #000080\"><span style=\"color: #ff0000\"><strong>Keywords<\/strong>:<\/span> Generating functions, Cauchy product, Bell polynomial, time series, autocovariance function, autocorrelation function.<\/span><\/p>\n<p>[\/et_pb_accordion_item][et_pb_accordion_item title=\u00a0\u00bbR\u00e9sum\u00e9\u00a0\u00bb _builder_version=\u00a0\u00bb4.27.4&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; border_color_all=\u00a0\u00bb#8300E9&Prime; box_shadow_style=\u00a0\u00bbpreset6&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb open=\u00a0\u00bboff\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;]<\/p>\n<p><span style=\"color: #000080\">Dans l\u2019\u00e9tude des processus autor\u00e9gressifs d\u2019ordre <em>p<\/em>, on s\u2019int\u00e9resse au polyn\u00f4me caract\u00e9ristique de degr\u00e9 <em>p<\/em> associ\u00e9. A l\u2019aide de ses racines, on calcule les param\u00e8tres de processus moyenne mobile d\u2019ordre infini, la fonction d\u2019autocovariance, la fonction d\u2019autocorr\u00e9lation. Dans ce travail \u00e0 l\u2019aide des fonctions g\u00e9n\u00e9ratrices, le produit de Cauchy des s\u00e9ries formelles et les polyn\u00f4mes de Bell exponentiels, on a r\u00e9ussi \u00e0 trouver ces param\u00e8tres, en fonction seulement des coefficients du polyn\u00f4me caract\u00e9ristique. Ainsi qu\u2019on a \u00e9tabli une nouvelle preuve de l\u2019\u00e9quation de Yule-Walker.<\/span><\/p>\n<p><span style=\"color: #000080\"><span style=\"color: #ff0000\"><strong>Mots cl\u00e9s\u00a0<\/strong>:<\/span> Les fonctions g\u00e9n\u00e9ratrices, le produit de Cauchy, polyn\u00f4me de Bell, s\u00e9rie temporelle, la fonction d\u2019autocovariance, la fonction d\u2019autocorr\u00e9lation.<\/span><\/p>\n<p>[\/et_pb_accordion_item][\/et_pb_accordion][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mme. \u00a0SLIMI Farida Soutiendra publiquement sa th\u00e8se de Doctorat en Sciences en Math\u00e9matiques Intitul\u00e9:\u00a0\u00ab ON BELL POLYNOMIALS AND THEIR APPLICATION ON TIME SERIES. \u00bb Le\u00a0: 19\/02\/2025 \u00e0 09h30, \u00e0 la salle de conf\u00e9rences de la facult\u00e9 des sciences\u00a0 \u00a0de l\u2019UMMTO (Campus Hasnaoua II, dit aussi Bastos). Directeur de Th\u00e8se\u00a0: Dr. \u00a0GOUBI Mouloud Devant le jury [&hellip;]<\/p>\n","protected":false},"author":13,"featured_media":132,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[1,13,9],"tags":[],"class_list":["post-26480","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-non-classe","category-actualites-pg","category-new_dep_maths"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>AVIS DE SOUTENANCE DE THESE DE DOCTORAT EN-SCIENCES MATHEMATIQUES - Facult\u00e9 des Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ummto.dz\/fs\/avis-de-soutenance-de-these-de-doctorat-en-sciences-mathematiques\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"AVIS DE SOUTENANCE DE THESE DE DOCTORAT EN-SCIENCES MATHEMATIQUES - Facult\u00e9 des Sciences\" \/>\n<meta property=\"og:description\" content=\"Mme. \u00a0SLIMI Farida Soutiendra publiquement sa th\u00e8se de Doctorat en Sciences en Math\u00e9matiques Intitul\u00e9:\u00a0\u00ab ON BELL POLYNOMIALS AND THEIR APPLICATION ON TIME SERIES. \u00bb Le\u00a0: 19\/02\/2025 \u00e0 09h30, \u00e0 la salle de conf\u00e9rences de la facult\u00e9 des sciences\u00a0 \u00a0de l\u2019UMMTO (Campus Hasnaoua II, dit aussi Bastos). 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