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On normal numbers mod $2$

100%

Ahn Y., Choe G. H.

Colloquium Mathematicum

1998

tom 76

nr 2

161-170

It is proved that a real-valued function $f(x)=\exp(\pi i \chi_I(x))$, where I is an interval contained in [0,1), is not of the form $f(x)=\overline{q(2x)}q(x)$ with |q(x)|=1 a.e. if I has dyadic endpoints. A relation of this result to the uniform distribution mod 2 is also shown.

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Approximate bias for first-order autoregressive model with uniform innovations. Small sample case

100%

Nouali K., Fellag H.

Discussiones Mathematicae Probability and Statistics

2002

tom 22

nr 1-2

15-26

The first-order autoregressive model with uniform innovations is considered. The approximate bias of the maximum likelihood estimator (MLE) of the parameter is obtained. Also, a formula for the approximate bias is given when a single outlier occurs at a specified time with a known amplitude. Simulation procedures confirm that our formulas are suitable. A small sample case is considered only.

Bayesian estimation of AR(1) models with uniform innovations

100%

Fellag H., Nouali K.

Discussiones Mathematicae Probability and Statistics

2005

tom 25

nr 1

71-75

The first-order autoregressive model with uniform innovations is considered. In this paper, we propose a family of BAYES estimators based on a class of prior distributions. We obtain estimators of the parameter which perform better than the maximum likelihood estimator.

Characterizations of distributions by moments of order statistics when the sample size is random

63%

Grudzień Z., Szynal D.

Applicationes Mathematicae

1995-1996

tom 23

nr 3

305-318

We give characterizations of the uniform distribution in terms of moments of order statistics when the sample size is random. Special cases of a random sample size (logarithmic series, geometrical, binomial, negative binomial, and Poisson distribution) are also considered.

Ograniczanie wyników

2 Discussiones Mathematicae Probability and Statistics

1 Applicationes Mathematicae

1 Colloquium Mathematicum

2 Fellag H.

2 Nouali K.

1 Ahn Y.

1 Choe G. H.

1 Grudzień Z.

1 Szynal D.

1 2005

1 2002

1 1998

1 1995

Wyniki wyszukiwania

On normal numbers mod $2$

Approximate bias for first-order autoregressive model with uniform innovations. Small sample case

Bayesian estimation of AR(1) models with uniform innovations

Characterizations of distributions by moments of order statistics when the sample size is random