weighing-systems.com New Online Book! Handbook of Mathematical Functions (AMS55) Conversion & Calculation Home >> Reference Information Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (AMS55) Purchase the electronic edition of this book in Adobe PDF format! FIRST | PREVIOUS | NEXT | LAST | CONTENTS | PAGE | ABOUT | SMALL | MEDIUM | LARGE Below is the OCR-scanned text from this page: 26. Probability Functions MARVIN ZELEN' AND NORMAN C. SEVERO~ Contents Mathematical Properties . . . . . . . . . . . . . . . . . . . . 26.3. Bivariate Normal Probability Function . . . . . . . . . 26.4. Chi-square Probability Function . . . . . . . . . . . . 26.5. Incomplete Beta Function . . . . . . . . . . . . . . . 26.6. F-(Variance-Ratio) Distribution Function . . . . . . . . 26.7. Student's t-Distribution . . . . . . . . . . . . . . . . Numerical Methods . . . . . . . . . . . . . . . . . . . . . . . 26.8. Methods of Generating Random Numbers and Their Applica- tions. . . . . . . . . . . . . . . . . . . . . . . . 26.9. Use and Extension of the Tables . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . Table 26.1. Normal Probability Function and Derivatives (0 5255). . 26.1. Probability Functioys: Definitions and Properties . . . . . 26.2. Normal or Gaussian Probability Function . . . . . . . . P(z), Z(z), Z(l)(x), 15D D2)(2), 10D; Z(')(Z), n=3(1)6, 8D P(z), 10D; Z(Z), 10s; Z(')(z), n=1(1)6, 8s ~=0(.02)3 Z= 3 (.05) 5 Table 26.2. Normal Probability Function for Large Arguments ( 5 5 x 5 5 0 0 ) . . . . . . . . . . . . . . . . . . . . . . . . . -log Q(x), ~=5(1)50(10)100(50)500, 5D Table 26.3. Higher Derivatives of the Normal Probability Function (0 5255) . . . . . . . . . . . . . . . . . . . . . . . . . . Z(')(X), n=7(1)12, z=0(.1)5, 8s Table 26.4. Normal Probability Function-Values of Z(z) in Terms of P(z) and Q(z) . . . . . . . . . . . . . . . . . . . . . . . . Q(~)=0(.001).5, 5D Table 26.5. Normal Probability Function-Values of 2 in Terms of P(x) and Q(z) . . . . . . . . . . . . . . . . . . . . . . . . Q(x)=0(.001).5, 5D Page 927 927 931 936 940 94 4 946 948 949 949 953 961 9 66 972 974 975 976 1 National Bureau of Standards. a National Bureau of Standards. (Presently, University of Buffalo.) (Presently, National Institutes of Health.) 925 The page scan image above, and the text in the text box above, are contributions of the National Institute of Standards and Technology that are not subject to copyright in the United States. ©2000 ConvertIt.com, Inc. All rights reserved. Terms of Use.