Using Mathematica to Calculate Shortest Confidence Intervals

Studies in Systems, Decision and Control - The Mathematics of the Uncertain ◽

10.1007/978-3-319-73848-2_2 ◽

2018 ◽

pp. 23-32 ◽

Cited By ~ 1

Author(s):

Ramón Ardanuy

Keyword(s):

Confidence Intervals ◽

Shortest Confidence Intervals

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Shortest Confidence Intervals

The American Statistician ◽

10.1080/00031305.1969.10481817 ◽

1969 ◽

Vol 23 (1) ◽

pp. 22-25 ◽

Cited By ~ 5

Author(s):

William C. Guenther

Keyword(s):

Confidence Intervals ◽

Shortest Confidence Intervals

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Shortest confidence intervals for the ratio of two normal variances

Canadian Journal of Statistics ◽

10.2307/3314965 ◽

1974 ◽

Vol 2 (1-2) ◽

pp. 83-87 ◽

Cited By ~ 13

Author(s):

K.J. Levy ◽

S.C. Narula

Keyword(s):

Confidence Intervals ◽

Shortest Confidence Intervals

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Shortest confidence intervals and UMVU estimators for families of distributions involving truncation parameters

Metrika ◽

10.1007/bf02614099 ◽

1989 ◽

Vol 36 (1) ◽

pp. 268-268

Author(s):

K. K. Ferentinos

Keyword(s):

Confidence Intervals ◽

Shortest Confidence Intervals ◽

Truncation Parameters

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The Shortest Confidence Interval for the Mean of a Normal Distribution

International Journal of Statistics and Probability ◽

10.5539/ijsp.v7n2p33 ◽

2018 ◽

Vol 7 (2) ◽

pp. 33

Author(s):

Traoré Boubakar ◽

Diabaté Lassina ◽

Touré Belco ◽

Fané Abdou

Keyword(s):

Confidence Interval ◽

Normal Distribution ◽

Confidence Intervals ◽

Mathematical Statistics ◽

Standard Normal Distribution ◽

Pivotal Quantity ◽

Construction Technique ◽

Standard Normal ◽

The Mean ◽

Shortest Confidence Intervals

An interesting topic in mathematical statistics is that of the construction of the confidence intervals. Two kinds of intervals which are both based on the method of pivotal quantity are the shortest confidence interval and the equal tail confidence intervals. The aim of this paper is to clarify and comment on the finding of such intervals and to investigation the relation between the two kinds of intervals. In particular, we will give a construction technique of the shortest confidence intervals for the mean of the standard normal distribution. Examples illustrating the use of this technique are given.

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On the Relation Among Shortest Confidence Intervals of Different Types

Calcutta Statistical Association Bulletin ◽

10.1177/0008068319610404 ◽

1961 ◽

Vol 10 (4) ◽

pp. 147-152 ◽

Cited By ~ 9

Author(s):

Jayanta Kumar Ghosh

Keyword(s):

Confidence Intervals ◽

Different Types ◽

Shortest Confidence Intervals

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On Shortest Confidence Intervals for Product of Gamma Means

Calcutta Statistical Association Bulletin ◽

10.1177/0008068319930303 ◽

1993 ◽

Vol 43 (3-4) ◽

pp. 181-190

Author(s):

Robert O'Brien ◽

Bimal K. Sinha

Keyword(s):

Confidence Interval ◽

Confidence Intervals ◽

Hazardous Waste ◽

Substantial Improvement ◽

Optimal Method ◽

Hazardous Waste Sites ◽

Independent Variables ◽

Explicit Formulae ◽

Shortest Confidence Intervals ◽

Two Independent Variables

In many environmental applications, such as risk and exposure assessment associated with hazardous waste sites, one is interested in a parameter which can be described as the product of means of several independently distributed gamma variables. In this paper an optimal method of constructing a confidence interval for this parameter is developed. Explicit formulae are given in the case of two independent variables, a situation quite eommon in applications. The proposed prodedure provides a substantial improvement over the commonly used technique of combining individual intervals constructed separately for each mean.

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