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150325s1985 xx |||||o 00| ||eng c |
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|a (JST)25052397
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|a eng
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|a 62 D05
|2 MSC
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|a Guilbaud, Olivier
|e verfasserin
|4 aut
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|a Statistical Inference about Quantile Class Means with Simple and Stratified Random Sampling
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|c 1985
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|a Text
|b txt
|2 rdacontent
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|a The topic discussed in this paper is closely related to Mahalanobis's fractile (graphical) analysis. Suppose that a bivariate population is partitioned into subpopulations of given relative sizes by partitioning one of the two marginal distributions into consecutive parts of given relative sizes. The bivariate subpopulations defined in this way are called quantile classes. This paper deals with the problem of making statistical inference about such quantile classes when we have a simple random sample or a stratified random sample from the population. In particular, for each one of these two cases, we show: (i) that the asymptotic (large sample) simultaneous distribution of the natural estimators of the quantile class means is multivariate normal under weak assumptions; (ii) how the covariance matrix of this normal distribution can be estimated consistently.
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| 650 |
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|a Large sampling theory of inference
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| 650 |
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|a Quantile classes
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| 650 |
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|a Simple random sampling
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| 650 |
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|a Stratified sampling
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Descriptive statistics
|x Statistical sampling
|x Sampling methods
|x Random sampling
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Inferential statistics
|x Statistical estimation
|x Estimation methods
|x Estimators
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| 650 |
|
4 |
|a Mathematics
|x Pure mathematics
|x Linear algebra
|x Matrix theory
|x Matrices
|x Covariance matrices
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| 650 |
|
4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Inferential statistics
|x Statistical inferences
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| 650 |
|
4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Descriptive statistics
|x Statistical distributions
|x Distribution functions
|x Probability distributions
|x Gaussian distributions
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| 650 |
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|a Mathematics
|x Pure mathematics
|x Discrete mathematics
|x Number theory
|x Numbers
|x Real numbers
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| 650 |
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4 |
|a Behavioral sciences
|x Psychology
|x Cognitive psychology
|x Cognitive processes
|x Thought processes
|x Reasoning
|x Inference
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| 655 |
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|a research-article
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| 773 |
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|i Enthalten in
|t Sankhyā: The Indian Journal of Statistics, Series B (1960-2002)
|d INDIAN STATISTICAL INSTITUTE, 1960
|g 47(1985), 2, Seite 272-279
|w (DE-627)328111708
|w (DE-600)2045740-6
|x 05815738
|7 nnns
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| 773 |
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|g volume:47
|g year:1985
|g number:2
|g pages:272-279
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|u https://www.jstor.org/stable/25052397
|3 Volltext
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|d 47
|j 1985
|e 2
|h 272-279
|