On the existence and uniqueness of maximum likelihood estimates in polytomous response models

Siu-Keung Tse

doi:10.1016/0378-3758(86)90165-5

On the existence and uniqueness of maximum likelihood estimates in polytomous response models

Siu-Keung Tse

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

3 Citations (Scopus)

Abstract

An ordered polytomous response model is defined. A geometric approach is used to derive the necessary and sufficient conditions for the existence of maximum likelihood estimates. The conditions are related to the idea of separating hyperplanes. © 1986.

Original language	English
Pages (from-to)	269-273
Journal	Journal of Statistical Planning and Inference
Volume	14
Issue number	2-3
DOIs	https://doi.org/10.1016/0378-3758(86)90165-5
Publication status	Published - 1986
Externally published	Yes

Research Keywords

Convex hulls
Log-likelihood function
Maximum likelihood estimators
Ordered polytomous response models
Separating hyperplane
Sequential designs

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10.1016/0378-3758(86)90165-5

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@article{f71887045a7d48ba8c5494f8795c158f,

title = "On the existence and uniqueness of maximum likelihood estimates in polytomous response models",

abstract = "An ordered polytomous response model is defined. A geometric approach is used to derive the necessary and sufficient conditions for the existence of maximum likelihood estimates. The conditions are related to the idea of separating hyperplanes. {\textcopyright} 1986.",

keywords = "Convex hulls, Log-likelihood function, Maximum likelihood estimators, Ordered polytomous response models, Separating hyperplane, Sequential designs",

author = "Siu-Keung Tse",

year = "1986",

doi = "10.1016/0378-3758(86)90165-5",

language = "English",

volume = "14",

pages = "269--273",

journal = "Journal of Statistical Planning and Inference",

issn = "0378-3758",

publisher = "Elsevier B.V.",

number = "2-3",

}

TY - JOUR

T1 - On the existence and uniqueness of maximum likelihood estimates in polytomous response models

AU - Tse, Siu-Keung

PY - 1986

Y1 - 1986

N2 - An ordered polytomous response model is defined. A geometric approach is used to derive the necessary and sufficient conditions for the existence of maximum likelihood estimates. The conditions are related to the idea of separating hyperplanes. © 1986.

AB - An ordered polytomous response model is defined. A geometric approach is used to derive the necessary and sufficient conditions for the existence of maximum likelihood estimates. The conditions are related to the idea of separating hyperplanes. © 1986.

KW - Convex hulls

KW - Log-likelihood function

KW - Maximum likelihood estimators

KW - Ordered polytomous response models

KW - Separating hyperplane

KW - Sequential designs

UR - http://www.scopus.com/inward/record.url?scp=38249041470&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-38249041470&origin=recordpage

U2 - 10.1016/0378-3758(86)90165-5

DO - 10.1016/0378-3758(86)90165-5

M3 - RGC 21 - Publication in refereed journal

SN - 0378-3758

VL - 14

SP - 269

EP - 273

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 2-3

ER -

On the existence and uniqueness of maximum likelihood estimates in polytomous response models

Abstract

Research Keywords

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