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Methods Inf Med 1978; 17(02): 120-126
DOI: 10.1055/s-0038-1636614
DOI: 10.1055/s-0038-1636614
Original Article
Alternativen zum klassischen Histogramm
ALTERNATIVES TO THE CLASSICAL HISTOGRAMFurther Information
Publication History
Publication Date:
17 February 2018 (online)
Als Alternativen — insbesondere innerhalb von Computerprogrammen — zum klassischen Histogramm werden verschiedene Methoden der nichtparametrischen Dichteschätzungen vorgeschlagen; besonders geeignet erscheint eine Modifikation der Kern-Methoden: die Verwendung variabler Kerne. Für jede der Methoden wird auf die Einflüsse einer Diskretisierung der Daten eingegangen.
As alternatives — especially in computer programs — to the classical histogram, we propose some non-parametric density estimation methods; particularly a modification of the kernel methods seems to be appropriate: the utilization of variable kernels. For each of the methods the influence of discretization of the data will be discussed.
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Literaturverzeichnis
- 1 Čencov N. N. Evaluation of an Unknown Distribution Density from Observations. Soviet. Math 03 1962; 1559-1562.
- 2 Doane D. P. Aesthetic Frequency Classifications. Amor. Statistician 30 1976; 181-183.
- 3 Fix E, Hodges Jr J. L. Nonparametric Discrimination: Consistency Properties. U.S.A.F. School of Aviation Med., Project No. 21-49-004, Report No. 4 (1951).
- 4 Loftsgaarden D. O, Quesenberry C. P. A Nonparametric Estimate of a Multivariate Density Function. Ann. Math. Statist 36 1965; 1049-1051.
- 5 Parzen E. On Estimation of a Probability Density Function and Mode. Ann. Math. Statist 33 1962; 1065-1076.
- 6 Rao B. L. S. P. Estimation of a Unimodal Density. Sankhyä (A) 31 1969; 26-36.
- 7 Révész P. On Empirical Density Function. Period. Math. Hung 02 1972; 85-110.
- 8 Rosenblatt M. Remarks on Some Nonparametric Estimates of a Density Function. Ann. Math. Statist 27 1956; 832-835.
- 9 Van Ryzin J. A Histogram Method of Density Estimation. Comm. Statist 02 1973; 493-506.
- 10 Victor N. Non-parametric Allocation Rules. In: De Dombal F. T. , Gémy F. (Eds): Decision Making and Medical Care. North-Holland Publ. Comp; Amsterdam: 1976: 515-527.
- 11 Wagner T. J. Nonparametric Estimates of Probability Densities. IEEE Trans. Inform. Theory 21 1975; 438-440.
- 12 WeGman E. J. Nonparametric Probability Density Estimation: I. A Summary of Available Methods. Technometrics 14 1972; 533-546.
- 13 Wertz W. Dichteschätzungen, Literaturliste. Bericht aus dem Inst. f. math. Stochastik der Univ. Hamburg, Hamburg. 1976
- 14 Woodroofe M. On Choosing a Delta Sequence. Ann. Math. Statist 41 1970; 1665-1671.