Univariate Normal Distribution and Its Quantile

N. C. Das ()
Additional contact information
N. C. Das: Birsa Agricultural University, Department of Statistics

Chapter Chapter 3 in Decision Processes by Using Bivariate Normal Quantile Pairs, 2015, pp 47-59 from Springer

Abstract: Abstract The theme of this book is about quantile values of probability distribution and their applications in decision-making. This chapter highlights the univariate normal distribution, which is the most explored and exploited one. It, therefore, begins with brief characterization of such probability distribution by Ludeman (random processes, filtering, estimation and detection. Wiley India, New Delhi, 2010). These are followed by a search for definitions of quantile by early writers as well as by some later ones. Their main concern was its applications for uncertain inference in terms of confidence probability and in transforming uncertain optimization problem to its unique chance-constrained programming problem. In fact, its use as Neyman’s confidence interval, as well as critical difference, happened to be of foremost importance in empirical decision-making. The chapter also touches upon the determination of nonparametric univariate quantiles. Those interested only in use of quantile may skip Sect. 3.1.

Keywords: Biquantile pairs; Certainty equivalent; Chance constrained; Confidence interval; Deterministic equivalent; Quantiles; Moran’s formula; Predictive paradigm; Uncertain decision; Reliability test; Robust inference; Self-tuning property; Stochastic control (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-2364-1_3

Ordering information: This item can be ordered from
http://www.springer.com/9788132223641

DOI: 10.1007/978-81-322-2364-1_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().