poisson distribution

listen to the pronunciation of poisson distribution
الإنجليزية - التركية
Poisson yasası
(Gıda) poisson dağılımı
poisson yasası
الإنجليزية - الإنجليزية
A limit of the binomial distribution for very large numbers of trials and a small probability of success
distribution probability that represents the happening of unusual events in a large number of trials
The Poisson distribution is a discrete probability distribution that depends on one parameter, m If X is a random variable with the Poisson distribution with parameter m, then the probability that X = k is
Poisson distributions model (some) discrete random variables Typically, a Poisson random variable is a count of the number of events that occur in a certain time interval or spatial area For example, the number of cars passing a fixed point in a five minute interval
A one-parameter discrete frequency distribution giving the probability the n points (or events) will be (or occur) in an interval (or time) x , provided that these points are individually independent and that the number occurring in a subinterval does not influence the number occurring in any other nonoverlapping subinterval It has the form f(n,x) = e-σx(σx)n/n! The mean and variance are both σx , and σ is the average density (or rate) with which the events occur When σx is large, the Poisson distribution approaches the normal distribution The binomial distribution approaches the Poisson when the number of events n becomes large and the probability of success P becomes small in such a way that nP aproaches σx
A probability distribution that characterizes discrete events occurring independently of one another in time
A distribution often used to express probabilities concerning the number of events per unit For example, the number of computer malfunctions per year, or the number of bubbles per square yard in a sheet of glass, might follow a Poisson distribution The distribution is fully characterized by its mean, usually expressed in terms of a rate Parameters: mean B>0 Domain: X=0,1,2, Mean: B Variance: B
A probability distribution that counts the number of events occurring in an interval of time, assuming that the occurrence of events is independent
A poisson distribution is a distribution of random occurrences in which one occurrence has no influence on any other occurrence The variance of a poisson distribution is equal to its mean and therefore the standard deviation is equal to the square root of the mean of the distribution Radioactive decay measurements follow a poisson distribution and therefore have a lower measurement error when more counts are accumulated
  A mathematical statement of the probability that exactly k discrete events will take place during an interval of length t, expressed by
A discrete distribution applicable when the probability of an event happening within a very small time period, is a very small number, the probability that two or more such events will occur within the same time interval is almost zero and the probability of the occurrence of the event within one time period is independent of where that time period is
A statistical tool that assumes 3 conditions: for any one observation only two results are possible; the chances of these two results do not vary from one observation to the next; and successive observations are independent
a theoretical distribution that is a good approximation to the binomial distribution when the probability is small and the number of trials is large
The probability distribution that describes a Poisson random variable (page 176)
A probability distribution that characterizes discrete events occurring independently of one another in time Probabilistic earthquake hazard See Earthquake hazard and Earthquake risk
a mathematical formula that used to be used in traffic engineering for calculating the probability of blocked calls in a telephone network; now we have CTI software that provides graphs of trunk groups and their usage
A probability function used to model the density of counts of a randomly occurring event obtained during a specified interval of time

المصطلحات ذات الصلة

Poisson distributions
plural form of Poisson distribution
The Poisson distribution
Poisson
poisson distribution

    الواصلة

    Pois·son dis·tri·bu·tion

    التركية النطق

    poyzsın dîstrıbyuşın

    النطق

    /ˈpoizsən ˌdəstrəˈbyo͞osʜən/ /ˈpɔɪzsən ˌdɪstrəˈbjuːʃən/

    علم أصول الكلمات

    () After Siméon Denis Poisson (1781-1840), French mathematician.
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