A Characterization of the Exponential-Type Distribution

Biometrika ◽  
1963 ◽  
Vol 50 (1/2) ◽  
pp. 205 ◽  
Author(s):  
G. P. Patil
Keyword(s):  
Exponential Type ◽  
Type Distribution

A characterization of the exponential - type distribution

Biometrika ◽  
1963 ◽  
Vol 50 (1-2) ◽  
pp. 205-207
Author(s):  
G. P. PATIL
Keyword(s):  
Exponential Type ◽  
Type Distribution

On representation of Poisson mixtures as Poisson sums and a characterization of the gamma distribution

1977 ◽  
Vol 82 (2) ◽  
pp. 297-300 ◽  
Author(s):  
A. V. Godambe
Keyword(s):  
Gamma Distribution ◽  
Exponential Type ◽  
Similar Condition ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Poisson Mixture ◽  
Mixing Distribution ◽  
Poisson Mixtures ◽  
Necessary And Sufficient

AbstractA necessary and sufficient condition for a Poisson mixture with an exponential type mixing distribution to be equivalently represented as a Poisson sum is obtained. The problem of deriving a similar condition under any mixing distribution on (0, ∞) is discussed. Finally, a characterization of the gamma distribution is obtained.

A Characterization of the Compound-Exponential Type Distributions

2011 ◽  
Vol 54 (3) ◽  
pp. 464-471
Author(s):  
Tea-Yuan Hwang ◽  
Chin-Yuan Hu
Keyword(s):  
Fixed Point ◽  
Exponential Type ◽  
Existence And Uniqueness ◽  
Fixed Point Equation ◽  
Point Equation

AbstractIn this paper, a fixed point equation of the compound-exponential type distributions is derived, and under some regular conditions, both the existence and uniqueness of this fixed point equation are investigated. A question posed by Pitman and Yor can be partially answered by using our approach.

Phase-type distributions and invariant polytopes

1991 ◽  
Vol 23 (3) ◽  
pp. 515-535 ◽  
Author(s):  
Colm Art O'Cinneide
Keyword(s):  
Lower Bounds ◽  
Stieltjes Transform ◽  
Phase Type Distribution ◽  
Type Distribution ◽  
Natural Approach ◽  
Phase Type ◽  
Phase Type Distributions ◽  
Real Poles

The notion of an invariant polytope played a central role in the proof of the characterization of phase-type distributions. The purpose of this paper is to develop invariant polytope techniques further. We derive lower bounds on the number of states needed to represent a phase-type distribution based on poles of its Laplace–Stieltjes transform. We prove that every phase-type distribution whose transform has only real poles has a bidiagonal representation. We close with three short applications of the invariant polytope idea. Taken together, the results of this paper show that invariant polytopes provide a natural approach to many questions about phase-type distributions.

scholarly journals The characterization of coal-derived distillate by the diagram of compound type distribution.

1987 ◽  
pp. 67-73
Author(s):  
Masaaki SATOU ◽  
Masataka TANIMOTO ◽  
Susumu YOKOYAMA ◽  
Yuzo SANADA
Keyword(s):  
Type Distribution ◽  
Compound Type

Bayesian Prediction Bounds for the Exponential-Type Distribution Based on Ordered Ranked Set Sampling

2016 ◽  
Vol 31 (1) ◽  
Author(s):  
Mohammed S. Kotb
Keyword(s):  
Exponential Type ◽  
Bayesian Prediction ◽  
Prediction Intervals ◽  
Prior Density ◽  
Type Distribution ◽  
Ranked Set Sample ◽  
Cumulative Function ◽  
Sample Method ◽  
Special Case ◽  
Sample Case

AbstractWe suggest a ranked set sample method to improve Bayesian prediction intervals. The paper deals with the Bayesian prediction intervals in the context of an ordered ranked set sample from a certain class of exponential-type distributions. A proper general prior density function is used and the predictive cumulative function is obtained in the two-sample case. The special case of linear exponential distributed observations is considered and completed with numerical results.

scholarly journals Arc Tan- Exponential Type Distribution Induced By Stereographic Projection / Bilinear Transformation On Modified Wrapped Exponential Distribution

2013 ◽  
Vol 9 (1) ◽  
pp. 69-74
Author(s):  
Y. Phani ◽  
S.V.S. Girija ◽  
A.V. Dattatreya Rao
Keyword(s):  
Exponential Distribution ◽  
Exponential Type ◽  
Stereographic Projection ◽  
Distribution Functions ◽  
Cumulative Distribution ◽  
Bilinear Transformation ◽  
Type Distribution ◽  
New Model ◽  
Cumulative Distribution Functions ◽  
Distribution Probability

Abstract In this paper we make an attempt to construct a new three parameter linear model, we call this new model as Arc Tan-Exponential Type distribution, by applying Stereographic Projection or equivalently Bilinear transformation on Wrapped Exponential distribution, Probability density and cumulative distribution functions of this new model are presented and their graphs are plotted for various values of parameters.

scholarly journals Yet another characterization of the sine function

1981 ◽  
Vol 4 (2) ◽  
pp. 371-381
Author(s):  
Robert Gervais ◽  
Lee A. Rubel
Keyword(s):  
Entire Function ◽  
Complex Plane ◽  
Exponential Type ◽  
Second Derivative ◽  
Sine Function ◽  
Number Of Zeros ◽  
Expository Paper

In this expository paper, it is shown that if an entire function of exponential type vanishes at least once in the complex plane and if it has exactly the same number of zeros (counting multiplicities) as its second derivative, then this function must take the formAsin(Bz+C).

Sign in / Sign up

Export Citation Format

Share Document