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| 1. |
A PROBABILISTIC DERIVATION OF THE NON‐CENTRAL χ2DISTRIBUTION |
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Australian Journal of Statistics,
Volume 7,
Issue 2,
1965,
Page 37-39
D. Kerridge,
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摘要:
SummaryA simple derivation of the non‐central χ2distribution is presented. This requires no advanced mathematical knowledge, and is suitable for use in elementary courses.The non‐central χ2distribution is of great importance in statistical theory, both in its own right, and as a step in the derivation of other distributions; however, it tends to be neglected in statistical courses largely, it seems, because the standard derivations are too difficult. A recent review of derivations by Guenther (1964) shows that most require some knowledge ofn‐dimensional geometry or the equivalent matrix theory. The alternative is the use of generating functions, which is straightforward, apart from the inversion back to the density function. An objection to such methods is that they give no insight into the probabilistic nature of the
ISSN:0004-9581
DOI:10.1111/j.1467-842X.1965.tb00149.x
出版商:Blackwell Publishing Ltd
年代:1965
数据来源: WILEY
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| 2. |
SIZES OF THE χ2TEST IN THE SYMMETRICAL MULTINOMIALS |
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Australian Journal of Statistics,
Volume 7,
Issue 2,
1965,
Page 40-44
H. O. Lancaster,
T. A. I. Brown,
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PDF (298KB)
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ISSN:0004-9581
DOI:10.1111/j.1467-842X.1965.tb00150.x
出版商:Blackwell Publishing Ltd
年代:1965
数据来源: WILEY
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| 3. |
SOME CONTRIBUTIONS TO TWO‐PHASE SAMPLING |
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Australian Journal of Statistics,
Volume 7,
Issue 2,
1965,
Page 45-47
D. Singh,
B. D. Singh,
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PDF (137KB)
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摘要:
SummaryA new two‐phase sampling procedure is suggested in this paper. The information on the ancillary variate in the preliminary sample is used for selecting the units for sub‐sample with unequal probabilities. Unbiased estimators for the population mean and their variance expressions are obtained for sub‐sampling procedures, both with and without replac
ISSN:0004-9581
DOI:10.1111/j.1467-842X.1965.tb00151.x
出版商:Blackwell Publishing Ltd
年代:1965
数据来源: WILEY
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| 4. |
ON THE ASYMPTOTIC BEHAVIOUR OF A SINGLE‐SERVER QUEUE |
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Australian Journal of Statistics,
Volume 7,
Issue 2,
1965,
Page 48-53
D. N. Shanbhag,
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PDF (264KB)
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ISSN:0004-9581
DOI:10.1111/j.1467-842X.1965.tb00152.x
出版商:Blackwell Publishing Ltd
年代:1965
数据来源: WILEY
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| 5. |
BOOK REVIEWS |
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Australian Journal of Statistics,
Volume 7,
Issue 2,
1965,
Page 54-56
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PDF (77KB)
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摘要:
Book reviewed in this article:Nixon, J. W.Glossary of Terms in Official Statistics.Deming, W. Edwards.Statistical Adjustmemt of Data.Bloemena, A. R.Sampling from a Graph.Patil, G. P., Kamat, A. R., and Wani, J. K.Certain Studies of the Logarithmic Series Distribution and Related Tables.Lindley, D. B.Introduction to Probability and Statistics.Brownlee, K. A.Statistical Theory arrd Methodology in Science and Engineering.
ISSN:0004-9581
DOI:10.1111/j.1467-842X.1965.tb00154.x
出版商:Blackwell Publishing Ltd
年代:1965
数据来源: WILEY
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