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Stats, Volume 2, Issue 1

March 2019 - 12 articles

Cover Story: Published results are rich sources of information. However, although the information is readily available, the format is often inconvenient. Instead of mean and standard deviation, articles may report the median, interquartile or range. Extracting the mean and standard deviation from these summary statistics has a long and rich tradition. Despite this fact, the formulas routinely used for extraction do not take into account the uncertainty of the resulting estimates. Assessment of the uncertainty of these estimates requires a probabilistic approach. This paper assesses the possibility of extraction of means and their associated confidence intervals when only the range is made available. The article uses maximum likelihood estimation with order statistics (MLEOS). The feasibility of likelihood based confidence intervals are demonstrated via simulations and two real life examples. View this paper.
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Articles (12)

  • Article
  • Open Access
14 Citations
5,232 Views
10 Pages

27 February 2019

In this article, we propose approaches for constructing confidence intervals for the single signal-to-noise ratio (SNR) of a log-normal distribution and the difference in the SNRs of two log-normal distributions. The performances of all of the approa...

  • Article
  • Open Access
1 Citations
2,085 Views
16 Pages

19 February 2019

The Birnbaum-Saunders (BS) distribution, with its generalizations, has been successfully applied in a wide variety of fields. One generalization, type-II generalized BS (denoted as GBS-II), has been developed and attracted considerable attention in r...

  • Article
  • Open Access
1 Citations
2,853 Views
27 Pages

18 February 2019

This article provides a review of the saddlepoint approximation for a M-statistic of a sample of nonnegative random variables with fixed sum. The sample vector follows the multinomial, the multivariate hypergeometric, the multivariate Polya or the Di...

  • Article
  • Open Access
3 Citations
3,447 Views
10 Pages

11 February 2019

We construct a point and interval estimation using a Bayesian approach for the difference of two population proportion parameters based on two independent samples of binomial data subject to one type of misclassification. Specifically, we derive an e...

  • Article
  • Open Access
3 Citations
2,614 Views
7 Pages

6 February 2019

Research papers represent an important and rich source of comparative data. The change is to extract the information of interest. Herein, we look at the possibilities to construct confidence intervals for sample averages when only ranges are availabl...

  • Article
  • Open Access
6 Citations
3,430 Views
15 Pages

A Support Vector Machine Based Approach for Predicting the Risk of Freshwater Disease Emergence in England

  • Hossein Hassani,
  • Emmanuel S. Silva,
  • Marine Combe,
  • Demetra Andreou,
  • Mansi Ghodsi,
  • Mohammad Reza Yeganegi and
  • Rodolphe E. Gozlan

5 February 2019

Disease emergence, in the last decades, has had increasingly disproportionate impacts on aquatic freshwater biodiversity. Here, we developed a new model based on Support Vector Machines (SVM) for predicting the risk of freshwater fish disease emergen...

  • Article
  • Open Access
2 Citations
2,003 Views
19 Pages

29 January 2019

In reliability, sequential order statistics serve as a model for the component lifetimes of k-out-of-n systems, which are operating as long as k out of n components are operating. In contrast to modelling with order statistics, load-sharing effects a...

  • Article
  • Open Access
3 Citations
3,101 Views
15 Pages

23 January 2019

We propose a parameter estimation method for non-stationary Poisson time series with the abnormal fluctuation scaling, known as Taylor’s law. By introducing the effect of Taylor’s fluctuation scaling into the State Space Model with the Pa...

  • Article
  • Open Access
6 Citations
9,787 Views
21 Pages

21 January 2019

A new one-parameter distribution is presented with similar mathematical characteristics to the two parameter conventional Weibull. It has an estimator that only depends on the sample mean. The relative entropy with respect to the Weibull distribution...

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Stats - ISSN 2571-905XCreative Common CC BY license