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Images and Products of Error Structures

In: The Mathematics of Errors

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  • Nicolas Bouleau

    (École des Ponts ParisTech)

Abstract

In Chap. 0 , we gave an application with a Markov chainMarkov chain represented by $$ X^x_{n +1} =\Psi ( X^x_n, U_{n +1} ) ,\quad X^x_0 =x, $$ X n + 1 x = Ψ ( X n x , U n + 1 ) , X 0 x = x , where $$U_1 ,\ldots ,U_n ,\ldots $$ U 1 , … , U n , … was a sequence of i.i.d. random variables uniformly distributed on [0, 1] representing the Monte Carlo drawings. If the Un are erroneous this requires two opérations which are studied in this chapter: defining the product of error structures and the image of an error structure under a mapping.

Suggested Citation

  • Nicolas Bouleau, 2021. "Images and Products of Error Structures," Springer Books, in: The Mathematics of Errors, chapter 0, pages 91-107, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-88575-5_7
    DOI: 10.1007/978-3-030-88575-5_7
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