ERRATA Standard Probability and Statistics Tables and Formulae by Daniel Zwillinger Stephen Kokoska

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1. Section 2.1.5, Chernoff faces, page 8:
   The description of the data and the figures do not agree.
   The correct Chernoff faces corresponding to the data are given below.
   
   
   
   
2. Section 3.1, ALGEBRA OF SETS, page 23, Figures 3.1-3.4:
   The shading in the figures is not clear.
   The figures are given below.
   

   Figure 3.1: Shaded region = A'.	Figure 3.2: Shaded region = A È B.
   Figure 3.3: Shaded region = A Ç B.	Figure 3.4: Mutually exclusive sets.

   
   
3. Section 4.6.6, Midrange and range, page 63:
   In the first two sentences, the close parentheses do not match the open parentheses in X_(n).
   The right parenthesis is too large.
   
   
4. Section 6.6.2, Probability density function, page 127:
   The graph labels l=.5 and l=2 are reversed.
   For l=2 the pdf passes through the point (0,2).
   For l=.5 the pdf passes through the point (0,.5).
   
   
5. Section 6.9.3, Related Distributions, page 139
   Let $$X₁,X₂,...,$$X_n be independent gamma random variables with parameters a_i and b for i = 1, 2, ¼ , n.
   The random variable Y = X₁ + X₂ + ... + X_n has a gamma distribution with parameters a = a ₁ + a ₂ + ... + a _n and b.



6. Section 6.15.3, Noncentral Chi-Square Distribution, page 146
   


7. Section 6.27, RELATIONSHIPS AMONG DISTRIBUTIONS, page 161, line 1:
   "Figure 6.27 presents ..." should be "Figure 6.28 presents ..."



8. Section 8.9, Estimators for Mean and Standard Deviation in Small Samples, page 193:
   The heading on the second table has a bold "w".
   It should be a bold math italic "w".
   It should read:
   Estimating standard deviation s from the sample range w.



9. Section 9.2, Common Critical Values, page 196
   The last line has "... page 6.4.4, ..."
   It should say "... page 120, ..."



10. Section 10.8, page 241
    
    
    
11. Notation, page 262:
    The formula for S_xy contains an errant power of 2.
    It should be:
    
    
    
12. Section 11.1.2, Sum of squares, page 263
    
    
    
13. Section 17.3 Kalman Filtering, page 431
    Note 3 contains "\\" which is eroneous.



14. Section 17.5.4, Stationary distributions, page 437
    The two step transition matrix should have a last line of
    3/16    3/4    1/16
    The steady-state distribution is correct.



15. Section 17.10.1.1, Vibonacci numbers, page 449
    The vibonacci numbers are defined by v_n = v_n-1 ± v_n-1 should be
    The vibonacci numbers are defined by v_n = v_n-1 ± v_n-2



16. Section 17.15.4, Stochastic integration, Equation 17.90, page 463
    The equation has a small "w" that should be a capital W.
    The correction equation is:
    
    



17. Section 17.16.7, Buffon's needle problem, page 468
    



18. Section 17.16.8.2, Card games, page 469
    "distinct 13-card poker hands" should be "distinct 5-card poker hands"



19. Section 17.16.13, Envelope problem "paradox", page 473
    The end of the quote, "sometime" should be "something."



20. Section 17.16.14, Gambler's ruin problem, page 473