Posts about Statistics

2021

61. Trimmed Harrell-Davis quantile estimator based on the highest density interval of the given width (October 19)
62. Optimal window of the trimmed Harrell-Davis quantile estimator, Part 2: Trying Planck-taper window (October 12)
63. Optimal window of the trimmed Harrell-Davis quantile estimator, Part 1: Problems with the rectangular window (October 5)
64. Beta distribution highest density interval of the given width (September 28)
65. Quantile estimators based on k order statistics, Part 8: Winsorized Harrell-Davis quantile estimator (September 21)
66. Quantile estimators based on k order statistics, Part 7: Optimal threshold for the trimmed Harrell-Davis quantile estimator (September 14)
67. Quantile estimators based on k order statistics, Part 6: Continuous trimmed Harrell-Davis quantile estimator (September 7)
68. Quantile estimators based on k order statistics, Part 5: Improving trimmed Harrell-Davis quantile estimator (August 31)
69. Quantile estimators based on k order statistics, Part 4: Adopting trimmed Harrell-Davis quantile estimator (August 24)
70. Quantile estimators based on k order statistics, Part 3: Playing with the Beta function (August 17)
71. Quantile estimators based on k order statistics, Part 2: Extending Hyndman-Fan equations (August 10)
72. Quantile estimators based on k order statistics, Part 1: Motivation (August 3)
73. Avoiding over-trimming with the trimmed Harrell-Davis quantile estimator (July 27)
74. Optimal threshold of the trimmed Harrell-Davis quantile estimator (July 20)
75. Estimating quantile confidence intervals: Maritz-Jarrett vs. jackknife (July 13)
76. Using Kish's effective sample size with weighted quantiles (July 6)
77. Partial binning compression of performance series (June 29)
78. Calculating gamma effect size for samples with zero median absolute deviation (June 22)
79. Discrete performance distributions (June 15)
80. Customization of the nonparametric Cohen's d-consistent effect size (June 8)
81. Robust alternative to statistical efficiency (June 1)
82. Improving the efficiency of the Harrell-Davis quantile estimator for special cases using custom winsorizing and trimming strategies (May 25)
83. Comparing the efficiency of the Harrell-Davis, Sfakianakis-Verginis, and Navruz-Özdemir quantile estimators (May 18)
84. Dispersion exponential smoothing (May 11)
85. Quantile exponential smoothing (May 4)
86. Improving quantile-respectful density estimation for discrete distributions using jittering (April 27)
87. How to build a smooth density estimation for a discrete sample using jittering (April 20)
88. Kernel density estimation and discrete values (April 13)
89. Efficiency of the winsorized and trimmed Harrell-Davis quantile estimators (April 6)
90. Trimmed modification of the Harrell-Davis quantile estimator (March 30)
91. Efficiency of the Harrell-Davis quantile estimator (March 23)
92. Navruz-Özdemir quantile estimator (March 16)
93. Sfakianakis-Verginis quantile estimator (March 9)
94. Winsorized modification of the Harrell-Davis quantile estimator (March 2)
95. Misleading standard deviation (February 23)
96. Unbiased median absolute deviation based on the Harrell-Davis quantile estimator (February 16)
97. Unbiased median absolute deviation (February 9)
98. Comparing distribution quantiles using gamma effect size (February 2)
99. A single outlier could completely distort your Cohen's d value (January 26)
100. Better moving quantile estimations using the partitioning heaps (January 19)
101. MP² quantile estimator: estimating the moving median without storing values (January 12)
102. Case study: Accuracy of the MAD estimation using the Harrell-Davis quantile estimator (Gumbel distribution) (January 5)

2020

19. Fast implementation of the moving quantile based on the partitioning heaps (December 29)
20. Coverage of quantile confidence intervals (December 22)
21. Statistical approaches for performance analysis (December 15)
22. Quantile confidence intervals for weighted samples (December 8)
23. Quantile absolute deviation: estimating statistical dispersion around quantiles (December 1)
24. P² quantile estimator: estimating the median without storing values (November 24)
25. Plain-text summary notation for multimodal distributions (November 17)
26. Intermodal outliers (November 10)
27. Lowland multimodality detection (November 3)
28. Quantile-respectful density estimation based on the Harrell-Davis quantile estimator (October 27)
29. Misleading histograms (October 20)
30. The importance of kernel density estimation bandwidth (October 13)
31. The median absolute deviation value of the Gumbel distribution (October 6)
32. Weighted quantile estimators (September 29)
33. Nonparametric Cohen's d-consistent effect size (June 25)
34. DoubleMAD outlier detector based on the Harrell-Davis quantile estimator (June 22)

2019

3. Distribution comparison via the shift and ratio functions (October 11)
4. Normality is a myth (October 9)
5. Implementation of efficient algorithm for changepoint detection: ED-PELT (October 7)