By the definition of mathematical expectation
, E ([c.
First, it considers the optimal ordering cycle by assuming that the cycle time is determined by the demand rate D, delivery quantity per shipment y, and the mathematical expectation
of the defective rate p, just like that of Rezaei .
The mathematical expectation
of the number of children of the families which they have one boy and one girl for the first time is equal to 3.
It is established, that values of mathematical expectation
, dispersion, function of correlation and auto-correlations in comparison with values of same parameters, calculated on the classical formulas, give the error about 10-15 % with guarantee probability 0.
In this case, the index of K1 acquires the meaning of mathematical expectation
in the law of Poisson.
Keynes explains: "Thus if the animal spirits are dimmed and the spontaneous optimism falters, leaving us to depend on nothing but a mathematical expectation
, enterprise will fade and die;--though fears of loss may have a basis no more reasonable than hopes of profit had before" ( 1953, 162).
m] above, taking the mathematical expectation
, and noting that the vector p is independent of v(0) results in
As the marginal utility of money declines, "it follows that the mathematical expectation
of utility (rather than of money) in the game was finite, so that the individual would be willing to pay only a finite stake" (Arrow, 1984, V.
The third stage involves identifying optimal variant Vi corresponding maximum mathematical expectation
Another unsigned review in the same issue disdained as 'certainly not very plausible' the analysis of de Montessus (1908), a book by Bachelier's Paris colleague who included a chapter on 'Bachelier's Theorem' that the mathematical expectation
of the speculator is zero.
Before attempting this book, however, readers should be familiar with, among other things, the "core terms and concepts of statistical theory--moments, mathematical expectation
, probability limits, and asymptotic distributions.
where E(t) is the mathematical expectation
of the load,
The gist of the method chosen is in the analysis of profit statistics observed for a number of time periods, magnitude and frequency of certain economic return; probability of a certain outcome, mathematical expectation
, standard deviation are assessed, and the most probable future forecast is made (in our example, calculation is based on monthly profit of an enterprise (in US dollars) in the "f" period from January 2003 till December 2006 f = 48))
b] is a random variable with Poisson distribution with intensity b, defined on a probability space ([OMEGA], P), E denoting the mathematical expectation
t] denotes mathematical expectation
conditioned on time-t information.