factorial moment - определение. Что такое factorial moment
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Что (кто) такое factorial moment - определение

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Factorial moment         
EXPECTATION OR AVERAGE OF THE FALLING FACTORIAL OF A RANDOM VARIABLE
Normalised factorial moment; Factorial moments
In probability theory, the factorial moment is a mathematical quantity defined as the expectation or average of the falling factorial of a random variable. Factorial moments are useful for studying non-negative integer-valued random variables,D.
Factorial moment generating function         
MATHEMATICAL TERM
Factorial moment-generating function
In probability theory and statistics, the factorial moment generating function (FMGF) of the probability distribution of a real-valued random variable X is defined as
Factorial         
  • Absolute values of the complex gamma function, showing poles at non-positive integers
  • The gamma function (shifted one unit left to match the factorials) continuously interpolates the factorial to non-integer values
  • <math>(n/e)^n</math>,}} on a doubly logarithmic scale
  • [[Relative error]] in a truncated Stirling series vs. number of terms
  • TI SR-50A]], a 1975 calculator with a factorial key (third row, center right)
PRODUCT OF ALL INTEGERS BETWEEN 1 AND THE INTEGRAL INPUT OF THE FUNCTION
Factorial function; Factorials; Superduperfactorial; N!; Factorial number; Factoral; Factorial growth; X!; ! (math); Approximations of factorial; Negative factorial
In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial:
factorial         
  • Absolute values of the complex gamma function, showing poles at non-positive integers
  • The gamma function (shifted one unit left to match the factorials) continuously interpolates the factorial to non-integer values
  • <math>(n/e)^n</math>,}} on a doubly logarithmic scale
  • [[Relative error]] in a truncated Stirling series vs. number of terms
  • TI SR-50A]], a 1975 calculator with a factorial key (third row, center right)
PRODUCT OF ALL INTEGERS BETWEEN 1 AND THE INTEGRAL INPUT OF THE FUNCTION
Factorial function; Factorials; Superduperfactorial; N!; Factorial number; Factoral; Factorial growth; X!; ! (math); Approximations of factorial; Negative factorial
<mathematics> The mathematical function that takes a natural number, N, and returns the product of N and all smaller positive integers. This is written N! = N * (N-1) * (N-2) * ... * 1. The factorial of zero is one because it is an {empty product}. Factorial can be defined recursively as 0! = 1 N! = N * (N-1)! , N > 0 The gamma function is the equivalent for real numbers. (2005-01-07)
Factorial         
  • Absolute values of the complex gamma function, showing poles at non-positive integers
  • The gamma function (shifted one unit left to match the factorials) continuously interpolates the factorial to non-integer values
  • <math>(n/e)^n</math>,}} on a doubly logarithmic scale
  • [[Relative error]] in a truncated Stirling series vs. number of terms
  • TI SR-50A]], a 1975 calculator with a factorial key (third row, center right)
PRODUCT OF ALL INTEGERS BETWEEN 1 AND THE INTEGRAL INPUT OF THE FUNCTION
Factorial function; Factorials; Superduperfactorial; N!; Factorial number; Factoral; Factorial growth; X!; ! (math); Approximations of factorial; Negative factorial
·adj Related to factorials.
II. Factorial ·adj Of or pertaining to a factory.
III. Factorial ·noun The product of the consecutive numbers from unity up to any given number.
IV. Factorial ·noun A name given to the factors of a continued product when the former are derivable from one and the same function F(x) by successively imparting a constant increment or decrement h to the independent variable. Thus the product F(x)·F(x + h)·F(x + 2h)· ... ·F(x + (n - 1)·h) is called a factorial term, and its several factors take the name of factorials.
Factorial experiment         
  • 300px
  • 
Cube plot for factorial design
  • upright=1.75
  • Pareto plot]] showing the relative magnitude of the factor coefficients.
EXPERIMENT WHOSE DESIGN CONSISTS OF TWO OR MORE FACTORS, EACH WITH DISCRETE POSSIBLE VALUES, AND WHOSE EXPERIMENTAL UNITS TAKE ON ALL POSSIBLE COMBINATIONS OF THESE LEVELS ACROSS ALL SUCH FACTORS
Factorial experiments; Factorial design; Fully-crossed design; Fully crossed design; Factorial designs; Factorial trial
In statistics, a full factorial experiment is an experiment whose design consists of two or more factors, each with discrete possible values or "levels", and whose experimental units take on all possible combinations of these levels across all such factors. A full factorial design may also be called a fully crossed design.
Factorial number system         
  • The factorial numbers of a given length form a [[permutohedron]] when ordered by the bitwise <math>\le</math> relation<br/><br/>These are the right inversion counts (aka Lehmer codes) of the permutations of four elements.
MIXED RADIX NUMERAL SYSTEM ADAPTED TO NUMBERING PERMUTATIONS; REPRESENTS A NUMBER AS A×0! + B×1! + C×2! + ⋯
Factoradix; Factorial base; Factoradic
In combinatorics, the factorial number system, also called factoradic, is a mixed radix numeral system adapted to numbering permutations. It is also called factorial base, although factorials do not function as base, but as place value of digits.
Factorial moment measure         
MATHEMATICAL QUANTITY, FUNCTION OR, MORE PRECISELY, MEASURE THAT IS DEFINED IN RELATION TO MATHEMATICAL OBJECTS KNOWN AS POINT PROCESSES
In probability and statistics, a factorial moment measure is a mathematical quantity, function or, more precisely, measure that is defined in relation to mathematical objects known as point processes, which are types of stochastic processes often used as mathematical models of physical phenomena representable as randomly positioned points in time, space or both. Moment measures generalize the idea of factorial moments, which are useful for studying non-negative integer-valued random variables.
Minsky moment         
  • Different phases leading to Minsky Moment
SUDDEN, MAJOR COLLAPSE OF ASSET VALUES WHICH GENERATES A CREDIT CYCLE OR BUSINESS CYCLE
Minsky Moment
A Minsky moment is a sudden, major collapse of asset values which marks the end of the growth phase of a cycle in credit markets or business activity.
moment of truth         
WIKIMEDIA DISAMBIGUATION PAGE
The Moment of Truth (disambiguation); Moment Of Truth; The Moment of Truth; The Moment Of Truth; Moment of Truth (disambiguation); Moment of Truth (Album); TMOT; The Moment of Truth (album); Moment of truth; Moment of Truth (album); The Moment of Truth (song); The Moment of Truth (film); Moment of Truth (TV series)
(moments of truth)
If you refer to a time or event as the moment of truth, you mean that it is an important time when you must make a decision quickly, and whatever you decide will have important consequences in the future.
Both men knew the moment of truth had arrived.
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