scholarly journals On the consistency of a spatial-type interval-valued median for random intervals

2015 ◽  
Vol 100 ◽  
pp. 130-136 ◽  
Author(s):  
Beatriz Sinova ◽  
Stefan Van Aelst
Keyword(s):  
Random Intervals ◽  
Interval Valued

UNIFORM INFERENCE IN A GENERALIZED INTERVAL ARITHMETIC CENTER AND RANGE LINEAR MODEL

2021 ◽  
pp. 1-43
Author(s):  
Yanqin Fan ◽  
Xuetao Shi
Keyword(s):  
Interval Arithmetic ◽  
Inequality Constraints ◽  
Coefficient Of Determination ◽  
Linear Regression Models ◽  
Finite Sample ◽  
Linear Inequality Constraints ◽  
Linear Equality Constraints ◽  
Linear Equality ◽  
Random Intervals ◽  
Interval Valued

Via generalized interval arithmetic, we propose a Generalized Interval Arithmetic Center and Range (GIA-CR) model for random intervals, where parameters in the model satisfy linear inequality constraints. We construct a constrained estimator of the parameter vector and develop asymptotically uniformly valid tests for linear equality constraints on the parameters in the model. We conduct a simulation study to examine the finite sample performance of our estimator and tests. Furthermore, we propose a coefficient of determination for the GIA-CR model. As a separate contribution, we establish the asymptotic distribution of the constrained estimator in Blanco-Fernández (2015, Multiple Set Arithmetic-Based Linear Regression Models for Interval-Valued Variables) in which the parameters satisfy an increasing number of random inequality constraints.

scholarly journals A spatial-type interval-valued median for random intervals

Statistics ◽  
2018 ◽  
Vol 52 (3) ◽  
pp. 479-502
Author(s):  
Beatriz Sinova ◽  
Stefan Van Aelst
Keyword(s):  
Random Intervals ◽  
Interval Valued

INTERVAL VALUED INTUITIONISTIC FUZZY BI-IDEALS IN BOOLEAN LIKE SEMI RINGS

2020 ◽  
Vol 9 (5) ◽  
pp. 2583-2594
Author(s):  
R. Rajeswari ◽  
S. Ragha ◽  
N. Meenakumari
Keyword(s):  
Intuitionistic Fuzzy ◽  
Interval Valued

INTERVAL-VALUED FUZZY IDEALS IN ORDERED SEMIRINGS

2020 ◽  
Vol 9 (4) ◽  
pp. 1983-1995
Author(s):  
Y. Khandelwal ◽  
P. Chancha ◽  
R. Khandelwal
Keyword(s):  
Interval Valued
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