Interval estimation for the mean of lognormal data with excess zeros

Xinmin Li; Xiaohua Zhou; Lili Tian

doi:10.1016/j.spl.2013.07.004

Interval estimation for the mean of lognormal data with excess zeros

Xinmin Li
, Xiaohua Zhou
, Lili Tian

Department of Biostatistics

Qingdao University
Harbin Medical University
VA Medical Center
University of Washington

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

Abstract

This paper considered interval estimations for the mean of lognormal distribution with excess zeros. We proposed two methods for interval estimation based on an approximate generalized pivotal quantity and a fiducial quantity. Simulation results show that the fiducial approach has highly accurate coverage probability and fairly low bias.

Original language	English
Pages (from-to)	2447-2453
Number of pages	7
Journal	Statistics and Probability Letters
Volume	83
Issue number	11
DOIs	https://doi.org/10.1016/j.spl.2013.07.004
State	Published - Nov 2013

Keywords

Coverage probability
Fiducial quantity
Generalized confidence intervals
Lognormal distribution

Access to Document

10.1016/j.spl.2013.07.004

Cite this

@article{642ec2cd58554453a8b92578539e1f44,

title = "Interval estimation for the mean of lognormal data with excess zeros",

abstract = "This paper considered interval estimations for the mean of lognormal distribution with excess zeros. We proposed two methods for interval estimation based on an approximate generalized pivotal quantity and a fiducial quantity. Simulation results show that the fiducial approach has highly accurate coverage probability and fairly low bias.",

keywords = "Coverage probability, Fiducial quantity, Generalized confidence intervals, Lognormal distribution",

author = "Xinmin Li and Xiaohua Zhou and Lili Tian",

year = "2013",

month = nov,

doi = "10.1016/j.spl.2013.07.004",

language = "English",

volume = "83",

pages = "2447--2453",

journal = "Statistics and Probability Letters",

issn = "0167-7152",

publisher = "Elsevier B.V.",

number = "11",

}

TY - JOUR

T1 - Interval estimation for the mean of lognormal data with excess zeros

AU - Li, Xinmin

AU - Zhou, Xiaohua

AU - Tian, Lili

PY - 2013/11

Y1 - 2013/11

N2 - This paper considered interval estimations for the mean of lognormal distribution with excess zeros. We proposed two methods for interval estimation based on an approximate generalized pivotal quantity and a fiducial quantity. Simulation results show that the fiducial approach has highly accurate coverage probability and fairly low bias.

AB - This paper considered interval estimations for the mean of lognormal distribution with excess zeros. We proposed two methods for interval estimation based on an approximate generalized pivotal quantity and a fiducial quantity. Simulation results show that the fiducial approach has highly accurate coverage probability and fairly low bias.

KW - Coverage probability

KW - Fiducial quantity

KW - Generalized confidence intervals

KW - Lognormal distribution

UR - https://www.scopus.com/pages/publications/84882754184

U2 - 10.1016/j.spl.2013.07.004

DO - 10.1016/j.spl.2013.07.004

M3 - Article

AN - SCOPUS:84882754184

SN - 0167-7152

VL - 83

SP - 2447

EP - 2453

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 11

ER -

Interval estimation for the mean of lognormal data with excess zeros

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this