Mathematics And Statistics - Research Publications

Permanent URI for this collectionhttps://kr.cup.edu.in/handle/32116/47

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Author: search.filters.author.Mangla, Sherry

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    Moderation effects of serotype on dengue severity across pregnancy status in Mexico
    (BioMed Central Ltd, 2023-03-26T00:00:00) Annan, Esther; Nguyen, Uyen-Sa D. T.; Trevi�o, Jes�s; Wan Yaacob, Wan Fairos; Mangla, Sherry; Pathak, Ashok Kumar; Nandy, Rajesh; Haque, Ubydul
    Background: Pregnancy increases a woman�s risk of severe dengue. To the best of our knowledge, the moderation effect of the dengue serotype among pregnant women has not been studied in Mexico. This study explores how pregnancy interacted with the dengue serotype from 2012 to 2020 in Mexico. Method: Information from 2469 notifying health units in Mexican municipalities was used for this cross-sectional analysis. Multiple logistic regression with interaction effects was chosen as the final model and sensitivity analysis was done to assess potential exposure misclassification of pregnancy status. Results: Pregnant women were found to have higher odds of severe dengue [1.50 (95% CI 1.41, 1.59)]. The odds of dengue severity varied for pregnant women with DENV-1 [1.45, (95% CI 1.21, 1.74)], DENV-2 [1.33, (95% CI 1.18, 1.53)] and DENV-4 [3.78, (95% CI 1.14, 12.59)]. While the odds of severe dengue were generally higher for pregnant women compared with non-pregnant women with DENV-1 and DENV-2, the odds of disease severity were much higher for those infected with the DENV-4 serotype. Conclusion: The effect of pregnancy on severe dengue is moderated by the dengue serotype. Future studies on genetic diversification may potentially elucidate this serotype-specific effect among pregnant women in Mexico. � 2023, The Author(s).
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    A New Alpha Power Transformed Weibull Distribution: Properties and Applications
    (CRC Press, 2023-03-16T00:00:00) Pathak, Ashok Kumar; Arshad, Mohd; Bakshi, Sanjeev; Khetan, Mukti; Mangla, Sherry
    The Weibull distribution is one of the most widely used distributions in applied sciences and has been extensively utilized in reliability and survival analysis. By introducing additional parameters, several generations of the Weibull distribution have been proposed in the recent past to enhance the flexibility of the model. In this chapter, we introduced a three-parameter new alpha power transformed Weibull distribution. New alpha power transformed exponential, Weibull, Rayleigh, and exponential distributions are important sub-models of the proposed distribution. We study several statistical properties of the proposed distribution. Estimation of parameters using the method of maximum likelihood, weighted least squares, and Anderson Darling are discussed. Finally, some real data sets are also considered to demonstrate the applicability of the proposed distribution. � 2023 Mir Masoom Ali, Irfan Ali, Haitham M. Yousof and Mohamed Ibrahim.
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    Short-term forecasting of the COVID-19 outbreak in India
    (Oxford University Press, 2021-05-28T00:00:00) Mangla, Sherry; Pathak, Ashok Kumar; Arshad, Mohd; Haque, Ubydul
    As the outbreak of coronavirus disease 2019 (COVID-19) is rapidly spreading in different parts of India, a reliable forecast for the cumulative confirmed cases and the number of deaths can be helpful for policymakers in making the decisions for utilizing available resources in the country. Recently, various mathematical models have been used to predict the outbreak of COVID-19 worldwide and also in India. In this article we use exponential, logistic, Gompertz growth and autoregressive integrated moving average (ARIMA) models to predict the spread of COVID-19 in India after the announcement of various unlock phases. The mean absolute percentage error and root mean square error comparative measures were used to check the goodness-of-fit of the growth models and Akaike information criterion for ARIMA model selection. Using COVID-19 pandemic data up to 20 December 2020 from India and its five most affected states (Maharashtra, Karnataka, Andhra Pradesh, Tamil Nadu and Kerala), we report 15-days-ahead forecasts for cumulative confirmed cases and the number of deaths. Based on available data, we found that the ARIMA model is the best-fitting model for COVID-19 cases in India and its most affected states. � 2021 The Author(s) 2021.