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Statements

Subject Item: dbr:Belief_propagation
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Subject Item: dbr:Probability_distribution
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Subject Item: dbr:Probability_space
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Subject Item: dbr:End-to-end_delay
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Subject Item: dbr:List_of_convolutions_of_probability_distributions
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Subject Item: dbr:Multinomial_distribution
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Subject Item: n30:1_queue
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Subject Item: n30:c_queue
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Subject Item: dbr:ProbOnto
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Subject Item: dbr:Bernoulli_distribution
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Subject Item: dbr:Arbitrarily_varying_channel
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Subject Item: dbr:Joint_probability_distribution
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Subject Item: dbr:Van_Houtum_distribution
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Subject Item: dbr:Variance
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Subject Item: dbr:De_Moivre–Laplace_theorem
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Subject Item: dbr:Degenerate_distribution
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Subject Item: dbr:Dyadic_distribution
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Subject Item: dbr:Information_content
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Subject Item: dbr:Lewandowski-Kurowicka-Joe_distribution
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Subject Item: dbr:List_of_mathematical_abbreviations
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Subject Item: dbr:List_of_probability_topics
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Subject Item: n22:_A–L
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Subject Item: dbr:Kraft–McMillan_inequality
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Subject Item: dbr:PMF
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Subject Item: dbr:Probability-generating_function
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Subject Item: dbr:Probability_bounds_analysis
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Subject Item: dbr:Long-tail_traffic
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Subject Item: dbr:Yule–Simon_distribution
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Subject Item: dbr:Flory–Schulz_distribution
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Subject Item: dbr:Probability_density_function
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Subject Item: dbr:Notation_in_probability_and_statistics
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Subject Item: dbr:Rademacher_distribution
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Subject Item: dbr:Range_(statistics)
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Subject Item: dbr:Hypergeometric_distribution
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Subject Item: dbr:Probability_vector
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Subject Item: dbr:Binomial_distribution
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Subject Item: dbr:Binomial_test
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Subject Item: dbr:Hermite_distribution
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Subject Item: dbr:Jackson_network
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Subject Item: dbr:Zero-truncated_Poisson_distribution
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Subject Item: dbr:Zeta_distribution
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Subject Item: dbr:Relationships_among_probability_distributions
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Subject Item: dbr:Discrete_Fourier_transform
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Subject Item: dbr:Marginal_distribution
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Subject Item: dbr:Borel_distribution
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Subject Item: dbr:Poisson_distribution
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Subject Item: dbr:Huffman_coding
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Subject Item: dbr:Information_theory
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Subject Item: dbr:Kronecker_delta
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Subject Item: dbr:Negative_binomial_distribution
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Subject Item: dbr:Order_statistic
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Subject Item: dbr:Cantor_distribution
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Subject Item: dbr:Catalog_of_articles_in_probability_theory
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Subject Item: dbr:Categorical_distribution
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Subject Item: dbr:Mass_function
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dbo:wikiPageDisambiguates: dbr:Probability_mass_function

Subject Item: dbr:Mass_point
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Subject Item: dbr:Mean-preserving_spread
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Subject Item: dbr:Moment-generating_function
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Subject Item: dbr:Monotone_likelihood_ratio
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Subject Item: dbr:Probability_mass_function
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rdfs:label: Funzione di probabilità Funció de probabilitat Функція ймовірностей 確率質量関数 Probabla masa funkcio Sannolikhetsfunktion 확률 질량 함수 Probability mass function Pravděpodobnostní funkce Função massa de probabilidade Funkcja masy prawdopodobieństwa Fonction de masse (probabilités) Функция вероятности Kansfunctie Función de probabilidad Wahrscheinlichkeitsfunktion Probabilitate-funtzio 概率质量函数
rdfs:comment: En sannolikhetsfunktion eller frekvensfunktion. är en funktion som ger sannolikheten att en diskret stokastisk variabel antar ett visst värde.Mer precist, om X: S → R är en diskret stokastisk variabel så definieras sannolikhetsfunktionen till X som funktionen pX: R → [0,1] sådan att I ord så är värdet av fX i punkten x lika med sannolikheten att X antar värdet x. Motsvarigheten för kontinuerliga stokastiska variabler kallas täthetsfunktion. In probability and statistics, a probability mass function is a function that gives the probability that a discrete random variable is exactly equal to some value. Sometimes it is also known as the discrete density function. The probability mass function is often the primary means of defining a discrete probability distribution, and such functions exist for either scalar or multivariate random variables whose domain is discrete. The value of the random variable having the largest probability mass is called the mode. Eine Wahrscheinlichkeitsfunktion, auch Zähldichte genannt, ist eine spezielle reellwertige Funktion in der Stochastik. Wahrscheinlichkeitsfunktionen werden zur Konstruktion und Untersuchung von Wahrscheinlichkeitsverteilungen, genauer diskreten Wahrscheinlichkeitsverteilungen verwendet. Dabei kann jeder diskreten Wahrscheinlichkeitsverteilung eine eindeutige Wahrscheinlichkeitsfunktion zugeordnet werden. Umgekehrt definiert jede Wahrscheinlichkeitsfunktion eine eindeutig bestimmte diskrete Wahrscheinlichkeitsverteilung. Na teoria de probabilidade e em estatística, a função massa de probabilidade (FMP) é uma função que associa um valor de probabilidade à cada possível ocorrência de uma variável aleatória discreta. Por exemplo, se tomarmos a variável aleatória discreta "resultado de um dado", as possíveis ocorrências são 1,2,3,4,5 e 6. Se considerarmos um dado não viciado, a função de probabilidade associará a cada uma destas ocorrências uma probabilidade igual a . De verdeling van een discrete stochastische variabele wordt geheel bepaald door de kansen op de hoogstens aftelbare waarden die kan aannemen. Deze kansen worden vastgelegd door de kansfunctie van , gedefinieerd voor de mogelijke waarden door: (Let op het verschil tussen en .) En teoria de la probabilitat, la funció de probabilitat (també anomenada funció de massa de probabilitat o funció de repartiment de massa) d'una variable aleatòria discreta és la funció que associa a cada valor possible de la variable la probabilitat que aquesta ho assumeixi. Probabilitate-funtzioa zorizko aldagai diskretu baten probabilitate-banaketa definitzeko modu bat da, probabilitate-funtzioan zorizko aldagaiaren balioa ordeztuz balioari dagokion probabilitate zuzenean ematen duena. Probabilitate-funtzioak hartzen dituen balio guztien batura 1 izan behar da. 在概率论和统计学中，概率质量函数（probability mass function，简写作pmf）是离散随机变量在各特定取值上的概率。有时它也被称为离散密度函数。概率质量函数通常是定义离散概率分布的主要方法，并且此类函数存在于其定义域是离散的标量变量或。概率质量函数和概率密度函数的一个不同之处在于：概率质量函数是对离散随机变量定义的，本身代表该值的概率；概率密度函数本身不是概率，只有对连续随机变量的概率密度函数必须在某一个区间内被积分后才能产生出概率。具有最大概率质量的随机变量的值称为众数。 Функція ймовірностей у теорії ймовірностей — найпоширеніший спосіб охарактеризувати дискретний розподіл. Фу́нкция вероя́тности в теории вероятностей — функция, возвращающая вероятность того, что дискретная случайная величина примет определённое значение. Например, пусть — функция вероятности, тогда вероятность того, что примет значение равное 13, вычисляется подстановкой значения в функцию , которая уже возвращает вероятность, например, 0.5 — это означает, что вероятность получить число 13 равна 0.5. Если — скалярная случайная величина, функция вероятности задаётся таблицей возможных значений с соответствующими вероятностями; такая таблица носит название «ряд распределения». 확률 질량 함수(確率質量函數, probability mass function, PMF)는 이산 확률 변수에서 특정 값에 대한 확률을 나타내는 함수이다. 이 함수는 연속 확률 변수에서의 확률 밀도 함수와 대응된다. 예를 들어, 주사위를 한 번 굴릴 때의 값을 나타내는 확률 변수가 일 때, 이 확률 변수에 대응되는 확률 질량 함수는 이다. Funkcja masy prawdopodobieństwa (ang. probability mass function, pmf) – funkcja dająca dla każdej liczby rzeczywistej prawdopodobieństwo, że dana dyskretna zmienna losowa przyjmie wartość Jest szczególnym przypadkiem funkcji rozkładu prawdopodobieństwa dla rozkładów dyskretnych. Zachodzi: gdzie przebiega zbiór możliwych wartości zmiennej Pravděpodobnostní funkce (anglicky probability mass function, pmf) je funkce v teorii pravděpodobnosti a statistice, která udává pravděpodobnost, že diskrétní náhodná veličina se přesně rovná nějaké hodnotě. Pravděpodobnostní funkce je často základní prostředek pro definování diskrétního pravděpodobnostního rozdělení, a taková funkce existuje jak pro skalární tak pro vícerozměrnou náhodnou veličinu, jejíž definiční obor je diskrétní. En matematiko, probabla masa funkcio servas por priskribi diskretan probablodistribuon. Ĝi donas probablon de tio, ke la hazarda variablo havas precize la konsideratan valoron. Probabla masa funkcio havas nenulan valoron nur en kalkulebla kvanto da punktoj de sia domajno kaj sumo de ĉiuj tiuj valoroj egalas al 1. 確率質量関数（かくりつしつりょうかんすう、英: probability mass function, PMF）とは、確率論および統計学において、離散型確率変数にその値をとる確率を対応させる関数のことである（単に確率関数ということもある）。確率質量関数の定義域は離散的であるスカラー変数やなどの確率要素であることもある。離散型確率変数の場合は連続型確率変数の場合と異なり、事象の確率は高々可算個の確率質量の和で表される。 En théorie des probabilités, la fonction de masse est la fonction qui donne la probabilité d'un résultat élémentaire d'une expérience. C'est souvent ainsi que l'on définit une loi de probabilité discrète. Elle se distingue de la densité de probabilité en ceci que les densités de probabilité ne sont définies que pour des variables aléatoires absolument continues, et que c'est leur intégrale sur un domaine qui a valeur de probabilité (et non leurs valeurs elles-mêmes). En Probabilidad y Estadística, una función de probabilidad —o función de masa de probabilidad— es una función que devuelve la probabilidad de que una variable aleatoria discreta sea exactamente igual a algún valor. Es una función que asocia a cada punto de su espacio muestral X la probabilidad de que esta lo asuma. La función de probabilidad suele ser el medio principal para definir una distribución de probabilidad discreta, y tales funciones existen para variables aleatorias escalares o multivariantes, cuyo dominio es discreto. Nella teoria della probabilità, la funzione di probabilità , o funzione di massa di probabilità, o densità discreta di una variabile casuale discreta è una funzione di variabile reale che assegna ad ogni valore possibile di la probabilità dell'evento elementare . Nel caso in cui la variabile casuale sia continua, cioè l'insieme dei possibili valori ha la potenza del continuo, allora tale probabilità è sempre nulla. Nel caso continuo si utilizza pertanto la funzione di ripartizione e la sua derivata, la funzione di densità di probabilità.
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dbo:abstract: Функція ймовірностей у теорії ймовірностей — найпоширеніший спосіб охарактеризувати дискретний розподіл. Nella teoria della probabilità, la funzione di probabilità , o funzione di massa di probabilità, o densità discreta di una variabile casuale discreta è una funzione di variabile reale che assegna ad ogni valore possibile di la probabilità dell'evento elementare . Nel caso in cui la variabile casuale sia continua, cioè l'insieme dei possibili valori ha la potenza del continuo, allora tale probabilità è sempre nulla. Nel caso continuo si utilizza pertanto la funzione di ripartizione e la sua derivata, la funzione di densità di probabilità. Funkcja masy prawdopodobieństwa (ang. probability mass function, pmf) – funkcja dająca dla każdej liczby rzeczywistej prawdopodobieństwo, że dana dyskretna zmienna losowa przyjmie wartość Jest szczególnym przypadkiem funkcji rozkładu prawdopodobieństwa dla rozkładów dyskretnych. Zachodzi: gdzie przebiega zbiór możliwych wartości zmiennej 확률 질량 함수(確率質量函數, probability mass function, PMF)는 이산 확률 변수에서 특정 값에 대한 확률을 나타내는 함수이다. 이 함수는 연속 확률 변수에서의 확률 밀도 함수와 대응된다. 예를 들어, 주사위를 한 번 굴릴 때의 값을 나타내는 확률 변수가 일 때, 이 확률 변수에 대응되는 확률 질량 함수는 이다. En matematiko, probabla masa funkcio servas por priskribi diskretan probablodistribuon. Ĝi donas probablon de tio, ke la hazarda variablo havas precize la konsideratan valoron. Probabla masa funkcio havas nenulan valoron nur en kalkulebla kvanto da punktoj de sia domajno kaj sumo de ĉiuj tiuj valoroj egalas al 1. En teoria de la probabilitat, la funció de probabilitat (també anomenada funció de massa de probabilitat o funció de repartiment de massa) d'una variable aleatòria discreta és la funció que associa a cada valor possible de la variable la probabilitat que aquesta ho assumeixi. In probability and statistics, a probability mass function is a function that gives the probability that a discrete random variable is exactly equal to some value. Sometimes it is also known as the discrete density function. The probability mass function is often the primary means of defining a discrete probability distribution, and such functions exist for either scalar or multivariate random variables whose domain is discrete. A probability mass function differs from a probability density function (PDF) in that the latter is associated with continuous rather than discrete random variables. A PDF must be integrated over an interval to yield a probability. The value of the random variable having the largest probability mass is called the mode. 確率質量関数（かくりつしつりょうかんすう、英: probability mass function, PMF）とは、確率論および統計学において、離散型確率変数にその値をとる確率を対応させる関数のことである（単に確率関数ということもある）。確率質量関数の定義域は離散的であるスカラー変数やなどの確率要素であることもある。離散型確率変数の場合は連続型確率変数の場合と異なり、事象の確率は高々可算個の確率質量の和で表される。 En Probabilidad y Estadística, una función de probabilidad —o función de masa de probabilidad— es una función que devuelve la probabilidad de que una variable aleatoria discreta sea exactamente igual a algún valor. Es una función que asocia a cada punto de su espacio muestral X la probabilidad de que esta lo asuma. La función de probabilidad suele ser el medio principal para definir una distribución de probabilidad discreta, y tales funciones existen para variables aleatorias escalares o multivariantes, cuyo dominio es discreto. Al valor de la variable aleatoria que tiene la mayor masa de probabilidad se le llama moda. Pravděpodobnostní funkce (anglicky probability mass function, pmf) je funkce v teorii pravděpodobnosti a statistice, která udává pravděpodobnost, že diskrétní náhodná veličina se přesně rovná nějaké hodnotě. Pravděpodobnostní funkce je často základní prostředek pro definování diskrétního pravděpodobnostního rozdělení, a taková funkce existuje jak pro skalární tak pro vícerozměrnou náhodnou veličinu, jejíž definiční obor je diskrétní. Pravděpodobnostní funkce se liší od hustoty pravděpodobnosti (anglicky probability density function, pdf) tím, že se týká diskrétní místo spojité náhodné veličiny jako je tomu u hustoty pravděpodobnosti; hodnoty hustoty pravděpodobnosti nejsou pravděpodobnosti jako takové: hustotu pravděpodobnosti je nutné zintegrovat, abychom získali pravděpodobnost. Na teoria de probabilidade e em estatística, a função massa de probabilidade (FMP) é uma função que associa um valor de probabilidade à cada possível ocorrência de uma variável aleatória discreta. Por exemplo, se tomarmos a variável aleatória discreta "resultado de um dado", as possíveis ocorrências são 1,2,3,4,5 e 6. Se considerarmos um dado não viciado, a função de probabilidade associará a cada uma destas ocorrências uma probabilidade igual a . O conceito de função de probabilidade é análogo ao conceito de função densidade de probabilidade; a diferença é que este último se refere apenas a variáveis aleatórias contínuas. Фу́нкция вероя́тности в теории вероятностей — функция, возвращающая вероятность того, что дискретная случайная величина примет определённое значение. Например, пусть — функция вероятности, тогда вероятность того, что примет значение равное 13, вычисляется подстановкой значения в функцию , которая уже возвращает вероятность, например, 0.5 — это означает, что вероятность получить число 13 равна 0.5. Если — скалярная случайная величина, функция вероятности задаётся таблицей возможных значений с соответствующими вероятностями; такая таблица носит название «ряд распределения». Функция вероятности — это наиболее часто используемый способ охарактеризовать дискретное распределение. Она играет ту же роль, что и плотность вероятности для непрерывной случайной величины (однако в последней ситуации речь идёт не о вероятности реализации конкретного значения , а о вероятности попадании значения случайной величины в заданный интервал, которая находится интегрированием плотности вероятности по этому интервалу). En sannolikhetsfunktion eller frekvensfunktion. är en funktion som ger sannolikheten att en diskret stokastisk variabel antar ett visst värde.Mer precist, om X: S → R är en diskret stokastisk variabel så definieras sannolikhetsfunktionen till X som funktionen pX: R → [0,1] sådan att I ord så är värdet av fX i punkten x lika med sannolikheten att X antar värdet x. Motsvarigheten för kontinuerliga stokastiska variabler kallas täthetsfunktion. En théorie des probabilités, la fonction de masse est la fonction qui donne la probabilité d'un résultat élémentaire d'une expérience. C'est souvent ainsi que l'on définit une loi de probabilité discrète. Elle se distingue de la densité de probabilité en ceci que les densités de probabilité ne sont définies que pour des variables aléatoires absolument continues, et que c'est leur intégrale sur un domaine qui a valeur de probabilité (et non leurs valeurs elles-mêmes). De verdeling van een discrete stochastische variabele wordt geheel bepaald door de kansen op de hoogstens aftelbare waarden die kan aannemen. Deze kansen worden vastgelegd door de kansfunctie van , gedefinieerd voor de mogelijke waarden door: (Let op het verschil tussen en .) Eine Wahrscheinlichkeitsfunktion, auch Zähldichte genannt, ist eine spezielle reellwertige Funktion in der Stochastik. Wahrscheinlichkeitsfunktionen werden zur Konstruktion und Untersuchung von Wahrscheinlichkeitsverteilungen, genauer diskreten Wahrscheinlichkeitsverteilungen verwendet. Dabei kann jeder diskreten Wahrscheinlichkeitsverteilung eine eindeutige Wahrscheinlichkeitsfunktion zugeordnet werden. Umgekehrt definiert jede Wahrscheinlichkeitsfunktion eine eindeutig bestimmte diskrete Wahrscheinlichkeitsverteilung. In den meisten Fällen werden Wahrscheinlichkeitsfunktionen auf den natürlichen Zahlen definiert. Sie ordnen dann jeder Zahl die Wahrscheinlichkeit zu, dass diese Zahl auftritt. So würde bei der Modellierung eines fairen Würfels die Wahrscheinlichkeitsfunktion den Zahlen von eins bis sechs jeweils den Wert zuordnen und allen anderen die Null. Aus der Sicht der Maßtheorie handelt es sich bei Wahrscheinlichkeitsfunktionen um spezielle Dichtefunktionen (im Sinne der Maßtheorie) bezüglich des Zählmaßes. Diese werden im allgemeineren Kontext auch genannt. Probabilitate-funtzioa zorizko aldagai diskretu baten probabilitate-banaketa definitzeko modu bat da, probabilitate-funtzioan zorizko aldagaiaren balioa ordeztuz balioari dagokion probabilitate zuzenean ematen duena. Probabilitate-funtzioak hartzen dituen balio guztien batura 1 izan behar da. 在概率论和统计学中，概率质量函数（probability mass function，简写作pmf）是离散随机变量在各特定取值上的概率。有时它也被称为离散密度函数。概率质量函数通常是定义离散概率分布的主要方法，并且此类函数存在于其定义域是离散的标量变量或。概率质量函数和概率密度函数的一个不同之处在于：概率质量函数是对离散随机变量定义的，本身代表该值的概率；概率密度函数本身不是概率，只有对连续随机变量的概率密度函数必须在某一个区间内被积分后才能产生出概率。具有最大概率质量的随机变量的值称为众数。
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