Optimal sampling schemes for the Gaussian hypothesis testing problem

1990 ◽  
Vol 38 (10) ◽  
pp. 1677-1686 ◽  
Author(s):  
R.K. Bahr ◽  
J.A. Bucklew
Keyword(s):  
Hypothesis Testing ◽  
Optimal Sampling ◽  
Testing Problem ◽  
Sampling Schemes ◽  
Hypothesis Testing Problem

scholarly journals On Estimating Non-standard Discrete Distributions Using Adaptive MCMC Methods

2018 ◽  
Vol 7 (3) ◽  
pp. 1 ◽  
Author(s):  
Hatem Baffoun ◽  
Mekki Hajlaoui ◽  
Abdeljelil Farhat
Keyword(s):  
Performance Criterion ◽  
Discrete Distributions ◽  
Mcmc Methods ◽  
Adaptive Mcmc ◽  
Testing Problem ◽  
Sampling Schemes ◽  
Bayesian Hypothesis Testing ◽  
Hypothesis Testing Problem ◽  
Delayed Rejection ◽  
Frequency Estimator

In this paper, we compare empirically the performance of some adaptive MCMC methods, that is, Adaptive Metropolis (AM) algorithm, Single Component Adaptive Metropolis (SCAM) algorithm and Delayed Rejection Adaptive Metropolis (DRAM) algorithm. The context is the simulation of non-standard discrete distributions. The performance criterion used is the precision of the frequency estimator. An application to a Bayesian hypothesis testing problem shows the superiority of the DRAM algorithm over the other considered sampling schemes.

scholarly journals Subclasses of Starlike and Convex Functions Associated with the Limaçon Domain

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 942 ◽  
Author(s):  
Vali Soltani Masih ◽  
Stanisława Kanas
Keyword(s):  
Hypothesis Testing ◽  
Unit Disk ◽  
Convex Functions ◽  
Electrical Power ◽  
Low Grade ◽  
Testing Problem ◽  
Starlike And Convex Functions ◽  
Hypothesis Testing Problem ◽  
The Family ◽  
Low Grade Heat

Let ST L ( s ) and CV L ( s ) denote the family of analytic and normalized functions f in the unit disk D : = z : | z | < 1 , such that the quantity z f ′ ( z ) / f ( z ) or 1 + z f ″ ( z ) / f ′ ( z ) respectively are lying in the region bounded by the limaçon ( u − 1 ) 2 + v 2 − s 4 2 = 4 s 2 u − 1 + s 2 2 + v 2 , where 0 < s ≤ 1 / 2 . The limaçon of Pascal is a curve that possesses properties which qualify it for the several applications in mathematics, statistics (hypothesis testing problem) but also in mechanics (fluid processing applications, known limaçon technology is employed to extract electrical power from low-grade heat, etc.). In this paper we present some results concerning the behavior of f on the classes ST L ( s ) or CV L ( s ) . Some appropriate examples are given.

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