Article
Licensed
Unlicensed
Requires Authentication
A Truncated Bivariate t Distribution
-
Saralees Nadarajah
Published/Copyright:
March 11, 2010
Abstract
A truncated version of the bivariate t distribution is introduced. Unlike the t distribution, this possesses finite moments of all orders and could, therefore, be a better model for real-world situations, as it becomes possible to incorporate always available knowledge about the range of variability of the considered aspect into the model. Using the usual t distribution, this knowledge has to be abandoned and additionally the purely mathematical problems of infinite moments occurs. One such situation is discussed. Explicit expressions for the moments of the truncated distribution are also derived.
Published Online: 2010-03-11
Published in Print: 2007-October
© Heldermann Verlag
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Estimation on a GAR(1) Process by the EM Algorithm
- Point and Interval Estimation for the Lifetime Distribution of a k-Unit Parallel System Based on Progressively Type-II Censored Data
- A Note on the Distribution of Bousquet
- A Quality Index for Evaluating the Bank Capital Adequacy According to Basel I and II
- Reliability Test Plans for Series Systems in the Presence of Covariates
- Multivariate Information in Univariate Control Charts
- A Note on the Moments of Random Variables
- A Heuristic Approach for Constrained Redundancy Optimization in Multi-state Systems
- Reliability Computation of Moranda's Geometric Software Reliability Model
- Economic Design of A Modified Variable Sample Size and Sampling Interval Chart
- Gamma Frailty Regression Models in Mixture Distributions
- A Truncated Bivariate t Distribution
Keywords for this article
bivariate t distribution;
heavy tails;
moments;
truncated bivariate t distribution
Articles in the same Issue
- Estimation on a GAR(1) Process by the EM Algorithm
- Point and Interval Estimation for the Lifetime Distribution of a k-Unit Parallel System Based on Progressively Type-II Censored Data
- A Note on the Distribution of Bousquet
- A Quality Index for Evaluating the Bank Capital Adequacy According to Basel I and II
- Reliability Test Plans for Series Systems in the Presence of Covariates
- Multivariate Information in Univariate Control Charts
- A Note on the Moments of Random Variables
- A Heuristic Approach for Constrained Redundancy Optimization in Multi-state Systems
- Reliability Computation of Moranda's Geometric Software Reliability Model
- Economic Design of A Modified Variable Sample Size and Sampling Interval Chart
- Gamma Frailty Regression Models in Mixture Distributions
- A Truncated Bivariate t Distribution
