# Overview of Bounded Support Distributions and Methods for Bayesian Treatment of Industrial Data

### Kamil Dedecius, Pavel Ettler

#### Abstract

Statistical analysis and modelling of various phenomena are well established in nowadays industrial practice. However, the traditional approaches neglecting the true properties of the phenomena still dominate. Among others, this includes also the cases when a variable with bounded range is analyzed using probabilistic distributions with unbounded domain. Since many of those variables nearly fulfill the basic conditions imposed by the chosen distribution, the properties of used statistical models are violated rather rarely. Still, there are numerous cases, when inference with distributions with unbounded domain may lead to absurd conclusions. This paper addresses this issue from the Bayesian viewpoint. It briefly discusses suitable distributions and inferential methods overcoming the emerging computational issues.

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#### Paper Citation

#### in Harvard Style

Dedecius K. and Ettler P. (2013). **Overview of Bounded Support Distributions and Methods for Bayesian Treatment of Industrial Data** . In *Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-989-8565-70-9, pages 380-387. DOI: 10.5220/0004439003800387

#### in Bibtex Style

@conference{icinco13,

author={Kamil Dedecius and Pavel Ettler},

title={Overview of Bounded Support Distributions and Methods for Bayesian Treatment of Industrial Data},

booktitle={Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2013},

pages={380-387},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0004439003800387},

isbn={978-989-8565-70-9},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - Overview of Bounded Support Distributions and Methods for Bayesian Treatment of Industrial Data

SN - 978-989-8565-70-9

AU - Dedecius K.

AU - Ettler P.

PY - 2013

SP - 380

EP - 387

DO - 10.5220/0004439003800387