## Elements of Computational Statistics

by James E. Gentle

### Errata and Clarifications

Second printing.
More errata for first printing.

• Page 17, equation (1.14): should have a minus sign on the right-hand side. ( Thanks to Li Li! )
• Page 19, equations (1.16) and (1.17) and the unumbered equation following: all should have a factor of 2 on the right-hand side. ( Thanks to Li Li! )
• Page 53, line 8: should be Section 2.4. ( Thanks to Chronis Moyssiadis! )
• Page 77, line 11: the parenthetical sentence should be "If T is a linear functional of the ECDF and k=1, then ..." ( Thanks to Chronis Moyssiadis! )
• Page 81, last equation: in the last column of the matrices in both numerator and denominator, "T" should be "f" in all lines except the first. ( Thanks to Tianwen Chen! )
• Page 100, line 10: period should be deleted.
• Page 101, line 4b: in the second expression, "(xQ)^T" should be "(Qx)^T". ( Thanks to Weijie Cai! )
• Page 107: The matrix displayed near the middle of the page is the transpose of T. ( Thanks to Li Li! )
• Page 130, line 14: omit the square on the inner product. ( Thanks to Chronis Moyssiadis! )
• Page 134, line 23: "k" should be "j". ( Thanks to Chronis Moyssiadis! )
• Page 136, integral in the middle of the page: the integration should be with repsect to "t". ( Thanks to Tianwen Chen! )
• Page 137, equation (6.16): The multiplier of the (k-2)th ploynomial should be (k-1). (The parentheses are missing around k-1.) ( Thanks to Gerrit Stemerdink! )
• Page 213, equations (9.19) and (9.22): there should be an "m" in the numerator; that is, AIV = m/(nv) in eq (9.19) and the first term on the right in eq (9.22) is m/n(h_1...h_d). ( Thanks to Chronis Moyssiadis and to Wei Sun! )
• Page 215, line 10: the result of the summation should be 2^{m-1} instead of 2^{k-1}. ( Thanks to Chronis Moyssiadis! )
• Page 219, line 12: The equation label is missing; this should be equation (9.32).
• Page 220, line 4: the integration is just over the reals, that is, d=1, and the integration is with respect to du.
• Page 220, line 8: sigma_K^4 should be sigma_K^2. ( Thanks to Johan Bjursell! )
• Page 256, line 3: should be "If e does not create a cycle in T, then add e to T ..." (instead of adding it to H). ( Thanks to Chronis Moyssiadis! )
• Pages 265 and 267, in the expressions for X_S: both expressions should be the same. The expression is (X-\bar{X}) times the diagonal matrix consisting of the reciprocals of the square root of s_ii.
• Page 266, equation (10.11): the lower limit on the summation index should be 1. ( Thanks to Tianwen Chen! )
• Page 273, line 7: the left-hand side should just be X-\bar{X}
• Page 277, equation (10.18) and other equations on pages 277 through 279: all upper-case lambdas should be upper-case deltas. ( Thanks to Dave Hoaglin! )
• Page 279, line 1: "Cholesky factor" should be "square root".
• Page 286, equation (10.31): there should be a factor of 1/2 in the first term on the right (see equation (10.30)). ( Thanks to Li Li! )
• Page 334, Exercise 11.3: The subscript i is missing on x_1 and x_{q+1}. ( Thanks to Li Li! )
• Page 334, Exercise 11.4: "xtmp" in the code should be "xdat". ( Thanks to Li Li! )
• Page 344, line 26: should be "as |\beta_1| increases". ( Thanks to Johan Bjursell! )
• Page 375, last sentence: should be "The error structure has implications ..." (that is, a phrase is missing). ( Thanks to Chronis Moyssiadis! )
• Page 378, line 17 in equation for expectation of x_{12}: delete "x_1" in denominator. ( Thanks to Li Li and Victoria Plamadeala! )
• Page 379, line 14: A good estimate of \theta is \sqrt{m_2/2}, instead of m_2/(2(n-1)). ( Thanks to Johan Bjursell and Michael Manti! )
• Page 381, in solution to Exercise 9.6, line 20: the last value of c should be for regular hexagons (rather than for triangles). ( Thanks to Chronis Moyssiadis! )
• Page 382, in solution to Exercise 9.16b, line 15: The integrand should be y instead of y^2. ( Thanks to Li Li! )
• Page 408, line 6: page numbers should be 281--295. (Thanks to Cliff Sutton!)

Thanks to Jim Shine for pointing out additional typos in the Preface, and thanks also to Chronis Moyssiadis Pragyansmita Nayak, and Fred Webber for pointing out other typos.