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Aufsätze in referierten wissenschaftlichen Zeitschriften


  1. Ebner, B.; Henze, N.; Meintanis, S. (2024). A unified approach to goodness-of-fit testing for spherical and hyperspherical data. Statistical Papers, 65, 3447–3475. doi:10.1007/s00362-024-01529-1 
  2. Henze, N. (2024). The distribution of spaces on lottery tickets. The Fibonacci quarterly, 33 (5), 426–431. doi:10.1080/00150517.1995.12429109 
  3. Ebner, B.; Fischer, A.; Henze, N.; Mayer, C. (2023). Goodness-of-fit tests for the Weibull distribution based on the Laplace transform and Stein’s method. Annals of the Institute of Statistical Mathematics, 75 (6), 1011–1038. doi:10.1007/s10463-023-00873-7 
  4. Ebner, B.; Henze, N. (2023). Bahadur Efficiencies of the Epps–Pulley Test for Normality. Journal of Mathematical Sciences (United States), 273 (5), 861–870. doi:10.1007/s10958-023-06547-2 
  5. Chenavier, N.; Henze, N.; Otto, M. (2022). Limit laws for large kth-nearest neighbor balls. Journal of Applied Probability, 59 (3), 880–894. doi:10.1017/jpr.2021.92 
  6. Ebner, B.; Henze, N. (2022). On the eigenvalues associated with the limit null distribution of the Epps-Pulley test of normality. Statistical Papers, 64 (3), 739–752. doi:10.1007/s00362-022-01336-6 
  7. Henze, N.; Lafaye De Micheaux, P.; Meintanis, S. G. (2022). Tests for circular symmetry of complex-valued random vectors. Test, 31, 488–518. doi:10.1007/s11749-021-00788-6 
  8. Schilling, J.; Henze, N. (2021). Two poisson limit theorems for the coupon collector’s problem with group drawings. Journal of applied probability, 58 (4), 966–977. doi:10.1017/jpr.2021.15 
  9. Dörr, P.; Ebner, B.; Henze, N. (2021). Testing multivariate normality by zeros of the harmonic oscillator in characteristic function spaces. Scandinavian journal of statistics, 48 (2), 456–501. doi:10.1111/sjos.12477 
  10. Henze, N.; Jiménez-Gamero, M. D. (2021). A test for Gaussianity in Hilbert spaces via the empirical characteristic functional. Scandinavian journal of statistics, 48 (2), 406–428. doi:10.1111/sjos.12470 
  11. Jacob, F.; Beer, C.; Henze, N.; Hartenstein, H. (2021). Analysis of the Matrix Event Graph Replicated Data Type. IEEE access, 9, 28317–28333. doi:10.1109/ACCESS.2021.3058576 
  12. Ebner, B.; Henze, N.; Strieder, D. (2021). Testing normality in any dimension by Fourier methods in a multivariate Stein equation. Canadian Journal of Statistics, 50 (3), 992–1033. doi:10.1002/cjs.11670 
  13. Dörr, P.; Ebner, B.; Henze, N. (2021). A new test of multivariate normality by a double estimation in a characterizing PDE. Metrika, 84 (3), 401–427. doi:10.1007/s00184-020-00795-x 
  14. Ebner, B.; Henze, N. (2020). Rejoinder on: Tests for multivariate normality—a critical review with emphasis on weighted -statistics. TEST, 29 (4), 911–913. doi:10.1007/s11749-020-00744-w 
  15. Ebner, B.; Henze, N. (2020). Tests for multivariate normality—a critical review with emphasis on weighted -statistics. TEST, 29 (4), 845–892. doi:10.1007/s11749-020-00740-0 
  16. Henze, N.; Holmes, M. (2020). Curiosities regarding waiting times in Pólya’s urn model. Transactions of A. Razmadze Mathematical Institute, 174 (2), 149–154. 
  17. Henze, N.; Visagie, J. (2020). Testing for normality in any dimension based on a partial differential equation involving the moment generating function. Annals of the Institute of Statistical Mathematics, 72, 1109–1136. doi:10.1007/s10463-019-00720-8 
  18. Henze, N.; Mayer, C. (2020). More good news on the HKM test for multivariate reflected symmetry about an unknown centre. Annals of the Institute of Statistical Mathematics, 72, 741–770. doi:10.1007/s10463-019-00707-5 
  19. Henze, N.; Jiménez-Gamero, M. D.; Meintanis, S. G. (2019). CHARACTERIZATIONS OF MULTINORMALITY AND CORRESPONDING TESTS OF FIT, INCLUDING FOR GARCH MODELS. Econometric theory, 35 (3), 510–546. doi:10.1017/S0266466618000154 
  20. Henze, N.; Jiménez-Gamero, M. D. (2019). A new class of tests for multinormality with i.i.d. and garch data based on the empirical moment generating function. TEST, 28 (2), 499–521. doi:10.1007/s11749-018-0589-z 
  21. Györfi, L.; Henze, N.; Walk, H. (2019). The limit distribution of the maximum probability nearest-neighbour ball. Journal of applied probability, 56 (2), 574–589. doi:10.1017/jpr.2019.37 
  22. Henze, N.; Last, G. (2019). Absent-Minded Passengers. The American mathematical monthly, 126 (10), 867–875. doi:10.1080/00029890.2019.1656024 
  23. Henze, N.; Kirch, C.; Meintanis, S. G. (2018). Special Issue with papers from the “3rd workshop on Goodness-of-fit and change-point problems”. Metrika, 81 (6), 587–588. doi:10.1007/s00184-018-0677-9 
  24. Ebner, B.; Henze, N.; Yukich, J. E. (2018). Multivariate goodness-of-fit on flat and curved spaces via nearest neighbor distances. Journal of multivariate analysis, 165, 231–242. doi:10.1016/j.jmva.2017.12.009 
  25. Ebner, B.; Henze, N.; Klatt, M. A.; Mecke, K. (2018). Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images. Electronic journal of statistics, 12 (2), 2873–2904. doi:10.1214/18-EJS1467 
  26. Henze, N. (2018). On the consistency of the spacings test for multivariate uniformity, including on manifolds. Journal of applied probability, 55 (2), 659–665. doi:10.1017/jpr.2018.41 
  27. Henze, N.; Koch, S. (2017). On a test of normality based on the empirical moment generating function. Statistical papers, 1–13. doi:10.1007/s00362-017-0923-7 
  28. Baringhaus, L.; Henze, N. (2017). Cramér-von Mises distance: probabilistic interpretation, confidence intervals, and neighbourhood-of-model validation. Journal of nonparametric statistics, 29 (2), 167–188. doi:10.1080/10485252.2017.1285029 
  29. Baringhaus, L.; Henze, N. (2016). Revisiting the two-sample runs test. Test, 25 (3), 432–448. doi:10.1007/s11749-015-0463-1 
  30. Baringhaus, L.; Ebner, B.; Henze, N. (2016). The limit distribution of weighted L²-goodness-of-fit statistics under fixed alternatives, with applications. Annals of the Institute of Statistical Mathematics, 69 (5), 969–995. doi:10.1007/s10463-016-0567-8 
  31. Henze, N.; Hlávka, Z.; Meintanis, S. G. (2014). Testing for spherical symmetry via the empirical characteristic function. Statistics, 48 (6), 1282–1296. doi:10.1080/02331888.2013.832764 
  32. Ebner, B.; Henze, N. (2013). 2013: Internationales Jahr der Statistik. Mitteilungen der Deutschen Mathematiker-Vereinigung, 21 (4), 212–213. doi:10.1515/dmvm-2013-0084 
  33. Ebner, B.; Henze, N.; Parthasarathy, P. R. (2013). Ramanujan theta functions and birth and death processes. Statistics & probability letters, 83 (12), 2647–2655. doi:10.1016/j.spl.2013.08.005 
  34. Ebner, B.; Henze, N.; Meintanis, S. G. (2012). Goodness-of-fit tests for the Gamma distribution based on the empirical Laplace transform. Communications in Statistics - Theory and Methods, 41 (9), 1543–1556. doi:10.1080/03610926.2010.542851 
  35. Henze, N.; Meintanis, S. G. (2010). Tests of fit for exponentiality based on the empirical Laplace transform. Statistics, 36 (2), 147–161. doi:10.1080/02331880212042 
  36. Klar, B.; Parthasarathy, P. R.; Henze, N. (2010). Zipf and Lerch limit of birth and death processes. Probability in the Engineering and Informational Sciences, 24 (1), 129–144. doi:10.1017/S0269964809990179 
  37. Henze, N.; Meintanis, S. G. (2010). A characterization and a class of omnibus tests for the exponential distribution based on the empirical characteristic function. Journal of Mathematical Sciences, 167 (4), 588–595. doi:10.1007/s10958-010-9946-5 
  38. Klar, B.; Ketterer, F.; Henze, N. (2009). The use of isotones for comparing tests of normality against skew normal distributions. Journal of statistical theory and practice, 3 (3), 613–626. doi:10.1080/15598608.2009.10411950 
  39. Henze, N.; Nikitin, Y.; Ebner, B. (2009). Integral distribution-free statistics of Lp-type and their asymptotic comparison. Computational statistics & data analysis, 53 (9), 3426–3438. doi:10.1016/j.csda.2009.02.018 
  40. Baringhaus, L.; Henze, N. (2008). A new weighted integral goodness-of-fit statistic for exponentiality. Statistics & probability letters, 78 (8), 1006–1016. doi:10.1016/j.spl.2007.09.060 
  41. Henze, N. (2007). On the consistency of a test for symmetry based on a runs statistic. Journal of Nonparametric Statistics, 3 (2), 195–199. doi:10.1080/10485259308832582 
  42. Henze, N.; Nikitin, Y. Y. (2007). Two-sample tests based on the integrated empirical process. Communications in statistics / Theory and methods, 32 (9), 1767–1788. doi:10.1081/STA-120022708 
  43. Henze, N.; Baringhaus, L. (2007). A characterization of and new consistent tests for symmetry. Communications in statistics / Theory and methods, 21, 1555–1566. doi:10.1080/03610929208830863 
  44. Henze, N.; Baringhaus, L. (2007). An adaptive omnibus test for exponentiality. Communications in statistics / Theory and methods, 21, 969–978. doi:10.1080/03610929208830826 
  45. Henze, N.; Nikitin, Y. (2007). A new approach to goodness-of-fit testing based on the integrated empirical process. Journal of nonparametric statistics, 12 (3), 391–416. doi:10.1080/10485250008832815 
  46. Henze, N.; Klar, B. (2007). Bootstrap based goodness of fit tests for the generalized Poisson model. Communications in statistics / Theory and methods, 24 (7), 1875–1896. doi:10.1080/03610929508831592 
  47. Henze, N. (2007). A quick omnibus test for the proportional hazards model of random censorship. Statistics, 24, 253–263. doi:10.1080/02331888308802412 
  48. Henze, N.; Meintanis, S. G. (2006). GOODNESS-OF-FIT TESTS BASED ON A NEW CHARACTERIZATION OF THE EXPONENTIAL DISTRIBUTION. Communications in Statistics - Theory and Methods, 31 (9), 1479–1497. doi:10.1081/STA-120013007 
  49. Henze, N.; Klar, B.; Zhu, L. X. (2005). Checking the adequacy of the multivariate semiparametric location shift model. Journal of multivariate analysis, 93 (2), 238–256. doi:10.1016/j.jmva.2004.04.006 
  50. Henze, N.; Meintanis, S. G. (2005). Recent and classical tests for exponentiality. A partial review with comparisons. Metrika, 61 (1), 29–45. doi:10.1007/s001840400322 
  51. Hartmann, J.; Berner, Z.; Stüben, D.; Henze, N. (2005). A statistical procedure for the analysis of seismotectonically induced hydrochemical signals: A case study from the Eastern Carpathians, Romania. Tectonophysics, 405, 77–98. doi:10.1016/j.tecto.2005.05.014 
  52. Gupta, A. K.; Henze, N.; Klar, B. (2004). Testing for affine equivalence of elliptically symmetric distributions. Journal of Multivariate Analysis, 88 (2), 222–242. doi:10.1016/S0047-259X(03)00101-5 
  53. Henze, N.; Baringhaus, L. (2004). Limit distributions for measures of multivariate skewness and kurtosis based on projections. Journal of multivariate analysis, 38 (2), 51–69. doi:10.1016/0047-259X(91)90031-V 
  54. Henze, N.; Klar, B.; Meintanis, S. G. (2003). Invariant tests for symmetry about an unspecified point based on the empirical characteristic function. Journal of multivariate analysis, 87 (2), 275–297. doi:10.1016/S0047-259X(03)00044-7 
  55. Henze, N. (2002). Invariant tests for multivariate normality: a critical review. Statistical papers, 43 (4), 467–506. doi:10.1007/s00362-002-0119-6 
  56. Henze, N.; Wagner, T. (2002). A New Approach to the BHEP Tests for Multivariate Normality. Journal of Multivariate Analysis, 62 (1), 1–23. doi:10.1006/jmva.1997.1684 
  57. Henze, N.; Klar, B. (2002). Goodness-of-fit tests for the inverse Gaussian distribution based on the empirical Laplace transform. Annals of the Institute of Statistical Mathematics, 54 (2), 425–444. doi:10.1023/A:1022442506681 
  58. Henze, N.; Nikitin, Y. (2002). New Watson type goodness-of-fit tests based on the integrated empirical process. Mathematical methods of statistics, 11, 183–202. 
  59. Henze, N.; Meintanis, S. G. (2002). Goodness-of-fit tests for the exponential distribution based on the empirical Laplace transform. Statistics, 36 (2), 147–161. 
  60. Henze, N.; Meintanis, S. G. (2002). Goodness-of-fit tests based on a new characterization of the exponentional distribution. Communications in statistics- Theory and methods, 31 (9), 1479–1497. 
  61. Henze, N.; Baringhaus, L. (2002). A goodness of fit test for the Poisson distribution based on the empirical generating function. Statistics & probability letters, 13, 269–274. doi:10.1016/0167-7152(92)90033-2 
  62. Gutjahr, S.; Henze, N.; Folkers, M. (2002). Shortcomings of generalized affine invariant skewness measures. Journal of multivariate analysis, 71 (1), 1–23. doi:10.1006/jmva.1999.1823 
  63. Henze, N. (2001). A probabilistic and statistical analysis of popular lottery tickets. Statistica Neerlandica, 51, 155–163. doi:10.1111/1467-9574.00047 
  64. Henze, N.; Klar, B. (2001). Testing exponentiality against the L-class of life distributions. Mathematical methods of statistics, 10, 232–246. 
  65. Baringhaus, L.; Gürtler, N.; Henze, N. (2000). Theory & Methods: Weighted Integral Test Statistics and Components of Smooth Tests of Fit. Australian & New Zealand Journal of Statistics, 42 (2), 179–192. doi:10.1111/1467-842X.00117 
  66. Guertler, N.; Henze, N. (2000). Goodness-of-fit tests for the Cauchy distribution based on the empirical characteristic function. Annals of the Institute of Statistical Mathematics, 52 (2), 267–286. doi:10.1023/A:1004113805623 
  67. Baringhaus, L.; Henze, N. (2000). Omnibus tests of fit for exponentiality based on a characterization via the mean residual life function. Statistical papers, 41 (2), 225–236. doi:10.1007/BF02926105 
  68. Guertler, N.; Henze, N. (2000). Recent and classical goodness-of-fit tests for the Poisson distribution. Journal of statistical planning and inference, 90 (2), 207–225. doi:10.1016/S0378-3758(00)00114-2 
  69. Baringhaus, L.; Guertler, N.; Henze, N. (2000). Weighted integral test statistics and components of smooth tests of fit. Australian and New Zealand Journal of Statistics, 42 (2), 179–192. 
  70. Henze, N.; Penrose, M. D. (1999). On the multivariate runs test. The annals of statistics, 27 (1), 290–298. doi:10.1214/aos/1018031112 
  71. Henze, N. (1999). Limit laws for multivariate skewness in the sense of Mori, Rohatgi and Szekely. Statistics & probability letters, 33 (3), 299–307. doi:10.1016/S0167-7152(96)00141-1 
  72. Henze, N. (1999). "Drawings since hit tables in lotteries" and a new multivariate geometric distribution. Statistics & probability letters, 40 (4), 321–327. doi:10.1016/S0167-7152(98)00118-7 
  73. Henze, N. (1998). Stochastische Extremwertprobleme oder Wie banal ist die Sensation?. Mitteilungen der Mathematischen Gesellschaft in Hamburg, 17, 51–74. 
  74. Henze, N. (1998). Extreme smoothing and testing for multivariate normality. Statistics & probability letters, 35 (3), 203–213. doi:10.1016/S0167-7152(97)00015-1 
  75. Henze, N. (1998). A Poisson limit law for a generalized birthday problem. Statistics & probability letters, 39 (4), 333–336. doi:10.1016/S0167-7152(98)00076-5 
  76. Henze, N.; Wagner, T. (1997). A new approach to the BEHP tests for multivariate normality. Journal of Multivariate Analysis, 62 (1), 1–23. 
  77. Henze, N. (1997). Do components of smooth tests of fit have diagnostic properties?. Metrika, 45 (1), 121–130. doi:10.1007/BF02717098 
  78. Henze, N.; Klein, T. (1996). The Limit Distribution of the Largest Interpoint Distance from a Symmetric Kotz Sample. Journal of Multivariate Analysis, 57 (2), 228–239. doi:10.1006/jmva.1996.0031 
  79. Henze, N.; Klar, B. (1996). Properly rescaled components of smooth tests of fit are diagnostic. Australian & New Zealand journal of statistics, 38 (1), 61–74. 
  80. Henze, N.; Klein, T. (1996). The limit distribution of the largest interprint distance from a symmetric Kotz sample. Journal of Multivariate Analysis, 57 (2), 228–239. 
  81. Henze, N. (1996). Empirical-distribution-function goodness-of-fit tests for discrete models. The Canadian journal of statistics, 24 (1), 81–93. doi:10.2307/3315691 
  82. Henze, N. (1994). Tests auf Normalverteilung. Allgemeines Statistisches Archiv, 78, 293–317. 
  83. Henze, N. (1994). The asymptotic behavior of a variant of multivariate kurtosis. Communications in Statistics: Theory and Methods, 23 (4), 1047–1061. 
  84. Henze, N. (1994). On Mardia’s kurtosis test for multivariate normality. Communications in statistics / Theory and methods, 23 (4), 1031–1045. doi:10.1080/03610929408831303 
  85. Henze, N. (1993). On the consistency of a test for symmetry based on a run statistic. Journal of Nonparametric Statistics, 3 (2), 195–199. 
  86. Henze, N. (1993). A new flexible class of omnibus tests for exponentiality. Communications in Statistics - Simulation and Computation, 22 (1), 115–133. 
  87. Henze, N.; Baringhaus, L. (1992). Limit distributions for Mardia’s measure of multivariate skewness. The annals of statistics, 20, 1889–1902. doi:10.1214/aos/1176348894 
  88. Henze, N.; Voigt, B. (1992). Almost sure convergence of certain slowly changing symmetric one- and multi-sample statistics. The annals of probability, 20 (2), 1086–1098. doi:10.1214/aop/1176989819 
  89. Henze, N.; Baringhaus, L. (1991). A class of consistent tests for exponentiality based on the empirical Laplace transform. Annals of the Institute of Statistical Mathematics, 43 (3), 551–564. doi:10.1007/BF00053372 
  90. Dette, H.; Henze, N. (1990). Some peculiar boundary phenomena for extremes of rth nearest neighbor links. Statistics & Probability Letters, 10 (5), 381–390. doi:10.1016/0167-7152(90)90018-3 
  91. Henze, N.; Zirkler, B. (1990). A class of invariant consistent tests for multivariate normality. Communications in statistics / Theory and methods, 19 (10), 3595–3617. doi:10.1080/03610929008830400 
  92. Dette, H.; Henze, N. (1990). Some peculiar boundary phenomena for extremes of th nearest neighbor links. Statistics & probability letters, 10 (5), 381–390. 
  93. Henze, N.; Baringhaus, L. (1990). A test for uniformity with unknown limits based on D’Agostinos . Statistics & probability letters, 9 (4), 299–304. doi:10.1016/0167-7152(90)90135-T 
  94. Henze, N. (1990). An approximation to the limit distribution of the Epps-Pulley test statistic for normality. Metrika, 37 (1), 7–18. doi:10.1007/BF02613501 
  95. Dette, H.; Henze, N. (1989). The limit distribution of the largest nearest neighbour link in the unit -cube. Journal of applied probability, 26 (1), 67–80. 
  96. Henze, N.; Baringhaus, L.; Danschke, R. (1989). Recent and classical tests for normality - a comparative study. Communications in statistics / Simulation and computation, 18 (1), 363–379. doi:10.1080/03610918908812764 
  97. Henze, N.; Baringhaus, L. (1988). A consistent test for multivariate normality based on the empirical characteristic function. Metrika, 35 (6), 339–348. doi:10.1007/BF02613322 
  98. Henze, N.; Baringhaus, L.; Morgenstern, D. (1988). Some elementary proofs of the normality of when and are normal. Computers and mathematics with applications, 15 (11), 943–944. 
  99. Henze, N. (1988). A multivariate two-sample test based on the number of nearest-neighbor type coincidences. The annals of statistics, 16 (2), 772–783. doi:10.1214/aos/1176350835 
  100. Henze, N. (1987). On the fraction of points with specified nearest-neighbour interrelations and degree of attraction. Advances in applied probability, 19 (4), 873–895. doi:10.2307/1427106 
  101. Henze, N. (1987). On the limiting distribution of the largest exponential spacing. Utilitas mathematica, 31, 85–91. 
  102. Henze, N. (1986). On the moments of vacancy of random arcs on the circle. Journal of applied probability, 23 (3), 837–840. doi:10.2307/3214022 
  103. Henze, N. (1986). A probabilistic representation of the "skew-normal" distribution. Scandinavian journal of statistics, 13 (4), 271–275. 
  104. Henze, N. (1986). On the probability that a random point is the the nearest neighbour to its own the nearest neighbour. Journal of applied probability, 23 (1), 221–226. doi:10.2307/3214132 
  105. Henze, N. (1984). Über die Anzahl von Zufallspunkten mit typ-gleichem nächsten Nachbarn und einen multivariaten Zwei-Stichproben-Test. Metrika, 31 (5), 259–273. doi:10.1007/BF01915210 
  106. Henze, N. (1983). Ein asymptotischer Satz über den maximalen Minimalabstand von unabhängigen Zufallsvektoren mit Anwendung auf einen Anpassungstest im und auf der Kugel. Metrika, 30 (4), 245–259. doi:10.1007/BF02056931 
  107. Henze, N. (1983). Random triangles in convex regions. Journal of applied probability, 20 (1), 111–125. doi:10.2307/3213725 
  108. Henze, N. (1982). Verhalten des Chi-Quadrat-Tests für Prüfung der Gleichwahrscheinlichkeit der Lotto-Zahlen bei Nichtgültigkeit der Hypothese. Metrika, 29 (2), 135–139. doi:10.1007/BF01893373 
  109. Henze, N. (1982). The limit distribution for maxima of "weighted" rth-nearest neighbour distances. Journal of applied probability, 19 (2), 344–354. doi:10.2307/3213486