Distribution-free inference in record series

Hoayek, Anis; Ducharme, Gilles R.; Khraibani, Zaher

doi:10.1007/s10687-017-0283-7

Cited by 6 publications

(9 citation statements)

References 14 publications

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“…In fact, there exists a similarity between "records" and "processing of censored data" [31]. To highlight this similarity, we consider the sequence of record indicators {δ t , 1 ≤ t ≤ T } defined by:…”

Section: Records Theory Model-general Contextmentioning

confidence: 99%

“…The Yang-Nevzorov model is considered the most popular in the non-iid context due to several reasons: 1. For having the structure of a proportional risk model in survival analysis, which has shown its usefulness in modeling many datasets [31]; 2. For generalizing the results of the Linear Drift Model (LDM) introduced by Ballerini and Resnick [6] which also represents a case beyond the iid.…”

Section: Beyond Iid-yang-nevzorovmentioning

confidence: 99%

“…As long as the Yang model parameter γ is unknown, the model cannot be used in practice; an estimation of γ is needed. Hoayek et al [31] showed that the best estimator, in terms of bias and standard deviation, is obtained by applying the maximum likelihood principle.…”

Section: Distribution Free Estimation Of γmentioning

confidence: 99%

“…In fact, the Records theory has been applied in several fields. Form climate change, natural gas markets to finance and sports, this method has proved its relevance in www.josis.org capturing the dynamics occurring in certain markets or through sets of data [31]. In our case, the study will be based first on the HR satellite images demand, through the GEO-SUD 1 /Theia 2 SDI, in France.…”

Section: Introductionmentioning

confidence: 99%

“…These models contain a large number of parameters, a fact that poses estimation challenges and over-parameterization concerns [17,28]. Such difficulties do not concern the Records theory which drops several mathematical constraints about the choice of the underlying distribution and the quality of the residuals [31]. Additionally, it could be used in cases where the number of available observations is somehow small [2]; usually, the study of time in record models is accounted through particular random variables called 'record indicators' [6].…”

Section: Introductionmentioning

confidence: 99%

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Examining satellite images market stability using the Records theory: Evidence from French spatial data infrastructures

Jabbour

Hoayek

Maurel

et al. 2021

JOSIS

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The spatial data infrastructures (SDIs) which constitute a direct link between spatial data users and the large Earth observation industry, have a leading role in establishing market opportunities in the space sector. The spatial information supplied through various forms of SDI platforms exhibits large increases in demand volatility. The users' demand is unpredictable and the market is vulnerable to high evolution shifts. We study the effect of extreme demands for a particular type of spatial information, the satellite images. Drawing on two French SDIs, GEOSUD and PEPS, we examine the shifts occurring on their platforms and assess the probability of witnessing a spike/drop in the short term of different satellite imagery schemes: the high resolution images through GEOSUD; the Landsat (U.S.), Sentinel (Europe) and SPOT (France) images through PEPS. We analyze the market stability through the two SDIs and evaluate the probability of future records by using the Records theory. The results show that the high resolution images demand through GEOSUD, for which the classical i.i.d. model fits the most, is stable. Moreover, the Yang-Nevzorov model fits to the Landsat data, due to more records concentrated beyond the first observations. The Landsat demand is the less stable out of the other three satellite images series, and the probability of having a record in the coming years is the highest. While the use of Records theory drops mathematical constraints, it offers an alternative solution to the non-applicability of the machine learning techniques and long-term memory models.

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Section: Records Theory Model-general Contextmentioning

confidence: 99%

Section: Beyond Iid-yang-nevzorovmentioning

confidence: 99%

Section: Distribution Free Estimation Of γmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%