Statistics of Directional DataAcademic Press, 1972 - 357 pagina's Angular data and frequency distributions; Descriptive measures; Basic concepts and theoretical models; Fundamental theorems and distributions theory; Point estimation; Tests for samples from von Mises populations; Nonparametric test; Distribution on spheres; Inference problems on the sphere. |
Inhoudsopgave
Chapter 1Angular data and frequency distributions 1 Introduction | 1 |
Diagrammatical representation | 3 |
Interrelations between different units of angular measurement | 6 |
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alternatives angles Appendix approximation asymptotic B₁ B₂ C₁ circle circular variance combined sample concentration parameter conditional distribution confidence interval consider corresponding cos² critical values data of Example defined density direction cosines Fisher distribution follows function Further H₁ Hence hypothesis of uniformity integral joint p.d.f. K₁ K₂ Kuiper's test large values likelihood function linear Mardia maximum likelihood estimate method Mises distribution n₁ n₂ Neyman-Pearson lemma normal distribution null distribution null hypothesis observations obtain order statistics points polar co-ordinates problem R₁ R₁ and R₂ R₂ random sample random variable reduces respectively result S₁ sample mean direction similar test sphere Stephens symmetric t₁ t₂ Table test statistic test the hypothesis theorem transformation two-sample test U₁ uniform distribution unimodal V₁ von Mises distribution Watson and Williams zero direction μο