Systems of Frequency Curves

✍ Scribed by William Palin Elderton, Norman Lloyd Johnson

• Publisher: Cambridge University Press
• Year: 1969
• Tongue: English
• Leaves: 225
• Edition: 1
• Category: Library

✦ Synopsis

Sir William Elderton's Frequency Curves and Correlation was first published in 1906 and subsequently three new editions were published. It has long enjoyed popularity as a source of clear descriptions of the practical use of Pearson and also Gram-Charlie systems of frequency curves. Professor Johnson has substantially revised this book. The material on correlations has been omitted; descriptions of further kinds of frequency curves have been added; the treatment of frequency surfaces has been recast and broadened; and the opportunity has been taken to amend the original text in the light of later research. The aim of this book remains essentially practical. There is no attempt at encyclopaedic coverage of all known systems of frequency curves and surfaces. It should be of especial value as a quick reference book (for statisticians and non-statisticians alike) for formulae and methods used in fitting frequency curves.

✦ Table of Contents

Cover......Page 1
Systems of Frequency Curves......Page 4
9780521073691......Page 5
Contents......Page 6
Preface......Page 8
1. Introductory......Page 10
2. Frequency distributions......Page 13
3. Method of moments......Page 21
4. Pearson's system of frequency-curves......Page 44
5. Calculation......Page 56
6. Curves represented by series expansions......Page 119
7. Translation systems......Page 131
8. Frequency surfaces......Page 144
9. Standard errors......Page 160
10. Tests of goodness of fit......Page 174
APPENDIX 1 - CORRECTIONS FOR MOMENTS......Page 186
APPENDIX 2 - B AND Γ FUNCTIONS......Page 191
APPENDIX 3 - THE EQUATION TO THE NORMAL SURFACE......Page 194
APPENDIX 4 - THE INTEGRATION OF SOME EXPRESSIONS CONNECTED WITH THE NORMAL CURVE OF ERROR......Page 197
APPENDIX 5 - OTHER METHODS OF FITTING CURVES......Page 202
APPENDIX 6 - KEY TO THE ACTUARIAL TERMS AND SYMBOLS USED......Page 207
APPENDIX 7 - ABRIDGED READING......Page 210
APPENDIX 8 - REFERENCES AND BIBLIOGRAPHY......Page 211
APPENDIX 9 - TABLES......Page 215
Index......Page 223