Doubly geometric processes and applications

In this article we investigate conditions by a unified method under which the covariances of functions of two adjacent ordered random variables are nonnegative. The main structural results are applied to several kinds of ordered random variable, such as delayed record values, continuous and discrete ℓ∞⩽-spherical order statistics, epoch times of mixed Poisson processes, generalized order statistics, discrete weak record values, and epoch times of modified geometric processes. These applications extend the main results for ordinary order statistics in Qi [28] and for usual record values in Nagaraja and Nevzorov [25].

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On a random lead time and threshold shock model using phase-type geometric processes

Applied Stochastic Models in Business and Industry ◽

10.1002/asmb.2308 ◽

2018 ◽

Vol 34 (3) ◽

pp. 407-422 ◽

Cited By ~ 4

Author(s):

Y. Sarada ◽

R. Shenbagam

Keyword(s):

Lead Time ◽

Shock Model ◽

Phase Type ◽

Random Lead Time ◽

Geometric Processes

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Photogrammetric Surveys and Geometric Processes to Analyse and Monitor Red Coral Colonies

Journal of Marine Science and Engineering ◽

10.3390/jmse6020042 ◽

2018 ◽

Vol 6 (2) ◽

pp. 42 ◽

Cited By ~ 8

Author(s):

Jean-Philip Royer ◽

Mohamad Nawaf ◽

Djamal Merad ◽

Mauro Saccone ◽

Olivier Bianchimani ◽

...

Keyword(s):

Red Coral ◽

Geometric Processes

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Hybrid-dynamic objects: DGS environments and conceptual transformations

International Journal for Educational and Vocational Studies ◽

10.29103/ijevs.v1i1.1416 ◽

2019 ◽

Vol 1 (1) ◽

pp. 31

Author(s):

Stavroula Patsiomitou

Keyword(s):

Mathematical Thinking ◽

Dynamic Geometry ◽

Research Process ◽

Dynamic Geometry Environment ◽

Theoretical Perspectives ◽

Dynamic Objects ◽

Dynamic Hybrid ◽

Geometric Processes ◽

Theoretical Considerations ◽

Didactics Of Mathematics

A few theoretical perspectives have been taken under consideration the meaning of an object as the result of a process in mathematical thinking. Building on their work, I shall investigate the meaning of ‘object’ in a dynamic geometry environment. Using the recently introduced notions of dynamic-hybrid objects, diagrams and sections which complement our understanding of geometric processes and concepts as we perform actions in the dynamic software, I shall explain what could be considered to be a ‘procept-in-action’. Finally, a few examples will be analyzed through the lenses of hybrid and dynamic objects in terms of how I designed them. A few snapshots of the research process will be presented to reinforce the theoretical considerations. My aim is to contribute to the field of the Didactics of Mathematics using ICT in relation to students’ cognitive development

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