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52650 results in Statistics and Probability

Page 156 of 2633

  • INFERENCE ON GARCH-MIDAS MODELS WITHOUT ANY SMALL-ORDER MOMENT

  • Christian Francq, Baye Matar Kandji, Jean-Michel Zakoian
  • Journal:
    Econometric Theory / Volume 40 / Issue 6 / December 2024
    Published online by Cambridge University Press:
    12 May 2023, pp. 1422-1455

  • In GARCH-mixed-data sampling models, the volatility is decomposed into the product of two factors which are often interpreted as “short-run” (high-frequency) and “long-run” (low-frequency) components. While two-component volatility models are widely used in applied works, some of their theoretical properties remain unexplored. We show that the strictly stationary solutions of such models do not admit any small-order finite moment, contrary to classical GARCH. It is shown that the strong consistency and the asymptotic normality of the quasi-maximum likelihood estimator hold despite the absence of moments. Tests for the presence of a long-run volatility relying on the asymptotic theory and a bootstrap procedure are proposed. Our results are illustrated via Monte Carlo experiments and real financial data.

  • Pyrroloquinoline quinone influences intracellular alpha-synuclein aggregates

  • Elizabeth Mountford, Cynthia Mathew, Reena Ghildyal, Andrea Bugarcic
  • Journal:
    Experimental Results / Volume 4 / 2023
    Published online by Cambridge University Press:
    11 May 2023, e12
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  • Parkinson’s disease (PD) is an irreversible neurodegenerative disorder clinically manifesting in uncontrolled motor symptoms. There are two primary hallmark features of Parkinson’s disease—an irreversible loss of dopaminergic neurons of the substantia nigra pars compacta and formation of intracellular insoluble aggregates called Lewy bodies mostly composed of alpha-synuclein. Using a clinical improvements-first approach, we identified several clinical trials involving consumption of a specific diet or nutritional supplementation that improved motor and nonmotor functions. Here, we aimed to investigate if and how pyrroloquinoline quinone (PQQ) compound disrupts preformed alpha-synuclein deposits using SH-SY5Y cells, widely used Parkinson’s disease cellular model. SH-SY5Y neuroblastoma cells, incubated in presence of potassium chloride (KCl) to induce alpha-synuclein protein aggregation, were treated with PQQ for up to 48 hr. Resulting aggregates were examined and quantified using confocal microscopy. Overall, nutritional compound PQQ reduced the average number and overall size of intracellular cytoplasmic alpha-synuclein aggregates in a PD cellular model.

  • 1 - Introduction to Time Series Data

  • from Part I - Descriptive Features of Time Series Data
  • Juana Sanchez, University of California, Los Angeles
  • Book:
    Time Series for Data Scientists
    Published online:
    01 June 2023
    Print publication:
    11 May 2023, pp 4-57
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Page 156 of 2633