Simple estimators of the parameters of generalized Tukey’s λ -family

Marie Hušková

Commentationes Mathematicae Universitatis Carolinae (1985)

  • Volume: 026, Issue: 4, page 727-743
  • ISSN: 0010-2628

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Hušková, Marie. "Simple estimators of the parameters of generalized Tukey’s $\lambda $-family." Commentationes Mathematicae Universitatis Carolinae 026.4 (1985): 727-743. <http://eudml.org/doc/17422>.

@article{Hušková1985,
author = {Hušková, Marie},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {generalized lambda-family; robust estimators; one-parameter family of symmetric distributions; order statistics},
language = {eng},
number = {4},
pages = {727-743},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Simple estimators of the parameters of generalized Tukey’s $\lambda $-family},
url = {http://eudml.org/doc/17422},
volume = {026},
year = {1985},
}

TY - JOUR
AU - Hušková, Marie
TI - Simple estimators of the parameters of generalized Tukey’s $\lambda $-family
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 4
SP - 727
EP - 743
LA - eng
KW - generalized lambda-family; robust estimators; one-parameter family of symmetric distributions; order statistics
UR - http://eudml.org/doc/17422
ER -

References

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  1. Akahira M., Takeuchi K., Asymptotic efficiency of statistical estimators: concepts and higher order asymptotic efficiency, Lecture Notes in Statistics 7, Springer-Verlag, 1981. (1981) Zbl0463.62026MR0617375
  2. Chan L. K., Rhodin L. S., Robust estimation of location using optimally chosen sample quantiles, Technometrics 22, 1980, 225-237. (1980) Zbl0428.62031
  3. Filliben J. J., Simple and robust estimation of the location parameter of a symmetric distribution, Hi. D. dissertation, Princeton University, Princeton, N.Y., 1969. (1969) 
  4. Joiner B. L., Rosenblatt J. R., Some properties of the range in samples from Tukey's symmetric X -distributions, J. Amer. Statist. Assoc. 66, 1971, 394-399. (1971) 
  5. Jones D. H., An efficient adaptive distribution-free test for location, J. Amer. Statist. Assoc. 74, 1979, 822-828. (1979) Zbl0421.62026MR0556475
  6. Ramberg J. S., Schmeiser B. W., An approximate method for generating symmetric random variables, Comm. of the ACM, 15, 1972, 987-990. (1972) Zbl0244.65005MR0331711
  7. Ramberg J. S., Schmeiser B. W., An approximative method for generating asymmetric random variables, Comm. of the ACM, 17, 1974, 78-82. (1974) MR0331711
  8. Ramberg J. S., Tadikamalla P. R., Dudewicz E. J., Mykytka E. F., A probability distribution and its uses in fitting data, Technometrics 21, 1979, 201-214. (1979) Zbl0403.62004
  9. Tukey J. W., The practical relationship between the common transformations of percentages or counts and of amounts, Technical Report # 36, Statistical Research Group, Princeton University, Princeton, N.Y., 1960. (1960) 

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