Continuous distributions whose functions preserve tails of an 𝐴-continued fraction representation of numbers
-
Mykola Pratsiovytyi
and
Artem Chuikov
Abstract
We study continuous, strictly monotonic functions preserving tails of an A-continued fraction representation of real numbers.
We construct continuous transformations of
References
[1]
S. O. Dmitrenko, D. V. Kyurchev and M. V. Pratsiovytyi,
[2] M. Kac, Statistical Independence in Probability, Analysis and Number Theory, Carus Math. Monogr. 12, John Wiley & Sons, New York, 1959. 10.5948/UPO9781614440123Search in Google Scholar
[3] A. Y. Khinchin, Continued Fractions, 3rd ed., University of Chicago, Chicago, 1997. Search in Google Scholar
[4]
R. Y. Osaulenko,
A group of continuous transformations of the closed interval
[5]
M. V. Pratsiovytyi and T. M. Isaieva,
Transformations of
[6]
M. Pratsiovytyi and D. Kyurchev,
Properties of the distribution of the random variable defined by
[7]
M. V. Pratsiovytyi and D. V. Kyurchev,
Singularity of distributions of the random variable represented by
[8]
M. V. Pratsiovytyi and S. V. Skrypnyk,
© 2019 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Hyers–Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems
- Internal stabilization of stochastic 3D Navier–Stokes–Voigt equations with linearly multiplicative Gaussian noise
- V-density for eigenvalues of random block matrices with independent blocks whose entries have different variances and expectations
- The RESPECT method. Simple proof of finding estimates from below for minimal singular eigenvalues of random matrices whose entries have zero means and bounded variances
- 𝑉-law for random block matrices under the generalized Lindeberg condition
- Continuous distributions whose functions preserve tails of an 𝐴-continued fraction representation of numbers
Articles in the same Issue
- Frontmatter
- Hyers–Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems
- Internal stabilization of stochastic 3D Navier–Stokes–Voigt equations with linearly multiplicative Gaussian noise
- V-density for eigenvalues of random block matrices with independent blocks whose entries have different variances and expectations
- The RESPECT method. Simple proof of finding estimates from below for minimal singular eigenvalues of random matrices whose entries have zero means and bounded variances
- 𝑉-law for random block matrices under the generalized Lindeberg condition
- Continuous distributions whose functions preserve tails of an 𝐴-continued fraction representation of numbers
