A Joint Calibration Estimator of Population Total Under Minimum Entropy Distance Function Based on Dual Frame Surveys

Forum for Interdisciplinary Mathematics - Statistical Methods and Applications in Forestry and Environmental Sciences ◽

10.1007/978-981-15-1476-0_8 ◽

2020 ◽

pp. 125-150

Author(s):

Piyush Kant Rai ◽

G. C. Tikkiwal ◽

Alka

Keyword(s):

Distance Function ◽

Dual Frame ◽

Minimum Entropy ◽

Population Total ◽

Entropy Distance

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The Generalized Distance Function: A Classification Technique for the Biological and Social Sciences

PsycEXTRA Dataset ◽

10.1037/e596702009-001 ◽

1953 ◽

Author(s):

Richard S. Melton

Keyword(s):

Social Sciences ◽

Distance Function ◽

Classification Technique ◽

Generalized Distance

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Parallel Residues

10.23943/princeton/9780691166902.003.0021 ◽

2017 ◽

Author(s):

Bernhard M¨uhlherr ◽

Holger P. Petersson ◽

Richard M. Weiss

Keyword(s):

Distance Function ◽

Length Function ◽

Coxeter System ◽

Vertex Set ◽

Ordered Pairs

This chapter considers the notion of parallel residues in a building. It begins with the assumption that Δ‎ is a building of type Π‎, which is arbitrary except in a few places where it is explicitly assumed to be spherical. Δ‎ is not assumed to be thick. The chapter then elaborates on a hypothesis which states that S is the vertex set of Π‎, (W, S) is the corresponding Coxeter system, d is the W-distance function on the set of ordered pairs of chambers of Δ‎, and ℓ is the length function on (W, S). It also presents a notation in which the type of a residue R is denoted by Typ(R) and concludes with the condition that residues R and T of a building will be called parallel if R = projR(T) and T = projT(R).

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On Asymmetric Distances

Analysis and Geometry in Metric Spaces ◽

10.2478/agms-2013-0004 ◽

2013 ◽

Vol 1 ◽

pp. 200-231 ◽

Cited By ~ 6

Author(s):

Andrea C.G. Mennucci

Keyword(s):

Total Variation ◽

Calculus Of Variations ◽

Distance Function ◽

Metric Space ◽

Metric Spaces ◽

Geodesic Segment ◽

Intrinsic Metric ◽

Typical Application ◽

Variation Formula

Abstract In this paper we discuss asymmetric length structures and asymmetric metric spaces. A length structure induces a (semi)distance function; by using the total variation formula, a (semi)distance function induces a length. In the first part we identify a topology in the set of paths that best describes when the above operations are idempotent. As a typical application, we consider the length of paths defined by a Finslerian functional in Calculus of Variations. In the second part we generalize the setting of General metric spaces of Busemann, and discuss the newly found aspects of the theory: we identify three interesting classes of paths, and compare them; we note that a geodesic segment (as defined by Busemann) is not necessarily continuous in our setting; hence we present three different notions of intrinsic metric space.

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