Zobrazeno 1 - 10
of 61
pro vyhledávání: '"K. V. Mardia"'
Autor:
K. V. Mardia
Publikováno v:
Journal of Applied Statistics. 25:231-235
Summary Fisher has presented various applications of the repeated integral of the normal distribution function. A new application has appeared in shape distributions. This work has led to the search for an explicit expression for the repeated normal
Publikováno v:
Advances in Applied Probability. 28:641-661
In machine vision, objects are observed subject to an unknown projective transformation, and it is usual to use projective invariants for either testing for a false alarm or for classifying an object. For four collinear points, the cross-ratio is the
Autor:
K. V. Mardia, A. N. Walder
Publikováno v:
Advances in Applied Probability. 26:893-905
In this paper we study the distribution associated with paired size-and-shape for two sets of correlated points having an underlying Gaussian distribution in the plane. This extends work previously done just for paired shape. Special cases are studie
Autor:
K. V. Mardia, I. L. Dryden
Publikováno v:
Advances in Applied Probability. 26:334-340
The paper considers the bias of Bookstein's mean estimator for shape under the isotropic normal model. This work depends on certain distributional properties of shape variables. An alternative unbiased modified estimator is proposed and its performan
Autor:
S. Rabe, K. V. Mardia
Publikováno v:
Journal of Applied Statistics. 21:479-494
The Ising model has become more prominent in spatial statistics since its applications in image analysis, as pioneered by Besag. This paper describes three multilevel generalizations of the Ising model, including the general spin Ising model. We comp
Autor:
I. L. Dryden, K. V. Mardia
Publikováno v:
Advances in Applied Probability. 23:259-276
In this paper we investigate the exact shape distribution for general Gaussian labelled point configurations in two dimensions. The shape density is written in a closed form, in terms of Kendall's or Bookstein's shape variables. The distribution simp
Autor:
K. V. Mardia, J. T. Kent
Publikováno v:
Biometrika. 78:355-363
SUMMARY Rao's score statistic is a standard tool for carrying out hypothesis tests. A unified approach is given which encompasses many common tests. When a suitable group structure is present, it is shown how the derivation of the test statistic can