Complex hydrological events such as ~oods always appear to be multivariate events that are characterized by a few correlated variables[ A complete understanding of these events needs to investigate joint probabilistic behaviours of these correlated variables[ The lognormal distribution is one of fre
The multivariate Polya distribution in combat modeling
β Scribed by Paul Kvam; Dennis Day
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 199 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0894-069X
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper investigates the multivariate Polya distribution (MPD) for application in combat models for which enemy targets must be randomly assigned to fighting units. Six sets of actual combat data motivate the allocation model. Scenarios include air-to-air combat, tank, and submarine warfare. Goodness of fit tests are derived which verify the validity of the MPD, and reinforce the notion that multinomial allocation is too simplistic for such combat models. Simulations to determine optimal allocations for minimal combat cost are applied in order to illustrate the role of the MPD in combat modeling.
π SIMILAR VOLUMES
Consider the multivariate linear model for the random matrix Y n\_p t MN(XB, V 7), where B is the parameter matrix, X is a model matrix, not necessarily of full rank, and V 7 is an np\_np positive-definite dispersion matrix. This paper presents sufficient conditions on the positive-definite matrix V
In this paper, we propose simple exact procedures for testing both a location shift andΓor a scale change between two multivariate distributions. Our tests are strictly distribution-free and can be made either scale invariant or rotation invariant. Our approach combines a generalization of the Wilco
In this paper the distribution of the sum of independent 1 variables with different scale parameters is obtained by direct integration, without involving a series expansion. One of its particular cases is the distribution of the product of some particular independent Beta variables. Both distributio