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| Keywords: Discrete probability distribution illustration.png 2px 3 valign center There are SVG versions 392px Discrete distribution - 392px Normal distribution - 392px Mixed distribution From top to bottom the cumulative distribution function of a discrete probability distribution continuous probability distribution and a distribution which has both a continuous part and a discrete part Cumulative distribution functions are examples of càdlàg functions Fonctions de répartition d'une variable discrète d'une variable diffuse et d'une variable avec atome mais non discrète בשרטוט הע יון מוצגת פונקציית ההצטברות ש ההתפ גות הבדידה ש ה ש ושה ערכי אפשריי 1 3 ו- 7 בהסתברות 0 2 0 5 ו-0 3 בהתאמה השרטוט האמצעי מציג את פונקציית ההצטברות ש התפ גות רציפה עובדה שניתן הסיק בש רציפות הפונקציה ע כ הטווח 0 1 השרטוט התחתון מציג פונקציית הצטברות ש התפ גות שהינה רציפה בח קה ובדידה בח קה Az eloszlásfüggvények például càdlàg függvények Le funzioni di ripartizione sono un esempio di funzioni càdlàg 上から順に 離散確率分布 続確率分布 続部分と離散部分がある確率分布の累積分布関数 산 확률 분포 연속 확률 분포 산적 분과 연속적 분 모두 존재하는 분포에 각각 누적 분포 함수 Od góry dystrybuanta pewnego dyskretnego rozkładu rozkładu ciagłego oraz rozkładu mającego zarówno ciągłą jak i dyskretną część Одозго на доле функција асподеле диск етне случајне п оменљиве неп екидне случајне п оменљиве и случајне п оменљиве која има и неп екидне и диск етне делове From top to bottom the cumulative distribution function of a discrete probability distribution continuous probability distribution and a distribution which has both a continuous part and a discrete part Yukarıdan aşağıya doğru bir ayrık olasılık dağılımı için bir sürekli olasılık dağılımı için ve hem sürekli hem de ayrık kısımları bulunan bir olasılık dağılımı için yığmalı olasılık fonksiyonu sten alta doğru Bir aralıklı dağılım için bir sürekli dağılım için ve hem sürekli bir kısmı hem de aralıklı bir kısmı bulunan bir dağılım için yığmalı dağılım fonksiyonları Зве ху вниз функція озподілу для диск етного озподілу ймові ностей для непе е вного озподілу та для озподілу що містить диск етну та непе е вну частини Từ trên xuống dưới hàm phân phối tích tũy của một phân phối xác suất r i rạc phân phối xác suất liên tục và một phân phối có cả một phần liên tục và một phần r i rạc Hàm phân bố tích lũy là một ví dụ của hàm số càdlàg own Oleg Alexandrov other versions see above and below Created with MATLAB Discrete_probability_distribution_illustration svg Source code MATLAB <source lang Matlab > plot a the cummulative distribution function for a a discrete distribution b continuous distribtuion c a distribution which has both a discrete and a continuous part function main clf; hold on; axis equal; axis off; L 4; h 0 02; X 0 h L; shift 2; Y 0 find X < 0 2 L 0 3+0 find X > 0 2 L X < 0 4 L 0 6+0 find X > 0 4 L X < 0 8 L 1+0 find X> 0 8 L ; plot_graph X Y L 0 shift Y 0 5 erf 4/L X-L/2 5 +0 5; plot_graph X Y L shift ; ds 0 4; Y 0 5 erf 2/L X-L/1 5 +0 5; Y Y + 0 find X < ds L 0 4+0 find X > ds L ; Y min Y 1 ; plot_graph X Y L 2 shift ; plot two dummy points to make matlab expand a bit the window before saving plot L+0 15 1 1 ' ' 'color' 0 99 1 1 1 ; plot -0 5 -2 1 shift ' ' 'color' 0 99 1 1 1 ; save as eps saveas gcf 'Discrete_probability_distribution_illustration eps' 'psc2' function plot_graph X Y L shift settings N length X ; tol 0 1; thick_line 3; thin_line 2; small_rad 0 07; red 1 0 0; blue 0 0 1; fs 23; epsilon 0 01; plot a blue box plot 0 L L 0 0 0 0 1 1 0-shift 'linewidth' thin_line 'color' blue everything will be shifted down Y Y - shift; if the given funtion has a jump plot some balls Otherwise plot a continous segment for i 1 N-1 if abs Y i -Y i+1 > tol ball X i+1 Y i+1 small_rad red ; empty_ball X i Y i thin_line 0 9 small_rad red ; else plot X i -epsilon X i+1 +epsilon Y i Y i+1 'color' red 'linewidth' thick_line ; end end ball 0 -shift small_rad red ; ball L 1-shift small_rad red ; plot text small 0 4; text -small 0-shift '0' 'fontsize' fs text -small 1-shift '1' 'fontsize' fs function ball x y r color Theta 0 0 1 2 pi; X r cos Theta +x; Y r sin Theta +y; H fill X Y color ; set H 'EdgeColor' 'none' ; function empty_ball x y thick_line r color Theta 0 0 1 2 pi; X r cos Theta +x; Y r sin Theta +y; H fill X Y 1 1 1 ; plot X Y 'color' color 'linewidth' thick_line ; </source> Discrete probability theory Files by User Oleg Alexandrov from en wikipedia Images with Matlab source code Cumulative distribution functions | ||||
