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Modeluvannya ekonomiki - Vіtlіnskiy V.V.
3.2.1. Modeluvannya vypadkovyh values
For modeling the vipadkovo value of potrybno nobility of the law її rozpodilu. Nayzagalnіshim way otrimannya poslіdovnostі vipadkovih numbers scho Yea poslіdovnіstyu realіzatsіy vipadkovoї quantities KOTRA rozpodіlena for dovіlnim law, Je sposіb in osnovі yakogo - processes formuvannya їh s vihіdnoї poslіdovnostі vipadkovih numbers. Tsya poslіdovnіst Je poslіdovnіstyu realіzatsіy vipadkovoї quantities scho rozpodіlena in іntervalі (0, 1) s zgіdno rіvnomіrnim rozpodіlu law.
Zgadanu poslidovnist vipadkovyh numbers with the same law rozpodilu can be rendered in three ways:
- Vicarities of tables of vipadic numbers;
- Vzdasuvannam generators in vypadkovyh numbers;
- Method psevdovipadkovyh numbers.
Ninі vikoristovuyut psevdovipadkovі numbers, schо відповідають рівномірному закон розподілу. Psevdovipadkovі (vipadkovі) number - tse numbers otrimanі for deyakim rule (formula), scho іmіtuє values vipadkovoї value. Low algorithms for the repetition of pseudo-virtual numbers are corrupted. Sensors psevdovipadkovyh numbers є warehouses більшості программних комплексів.
For peretvorennya poslіdovnostі vipadkovih numbers scho Yea realіzatsіyami vipadkovoї magnitude s rіvnomіrnim law rozpodіlu in іntervalі (0, 1), in poslіdovnіst vipadkovih numbers scho Yea realіzatsіyami vipadkovoї quantities іz tasks іntegralnoyu funktsієyu rozpodіlu F (x), treba іz sukupnostі vipadkovih numbers h rіvnomіrnim The law of roses in the interval (0; 1) of the vibrati Vipadkov number? І розв'язати рівняння:
F ( x ) = x visually . (3.5)
In vipadku, if given funktsіya schіlnostі ymovіrnostі f (x), spіvvіdnoshennya (3.5) nabiraє viglyadu:
. (3.6)
For low zakonіv rozpodіlu otrimano analіtichny rozv'yazok rіvnyannya (3.6), the result yakogo imposed in tablitsі 3.1.
Table 3.1
The formulas for the modeling of vipadic quantities
Zakony rozpodilu vipadkoy value |
Щільність розподілу |
The formulas for the modeling of vipadic quantities |
Експоненційний |
||
Weibula |
||
Gama-rozpodil (? - number of days) |
||
Normal |
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