Shekhar's Science Blog

Thursday, July 2, 2020

Prediction for India using Chi-Square Optimization

Prediction for India using Chi-Square Optimization

 

Dr Himanshu Shekhar

 

Introduction: Considering the tremendous daily confirmed cases in India, the chances of turnaround seems a remote possibility for India. It is clocking close to 18000 cases daily and now, I am finding many cases, in my vicinity and to someone I know. It is a disturbing situation, but my inquisitive mind continues to explore more from the data available till date for the confirmed cases. I have tried Chi-Square optimization of error, using normal distribution curve and prediction for future is made.

Chi-Square Minimization: The daily confirmed cases for India is taken from 15.03.2020 to 30.06.2020 and Normal distribution curve is plotted with chosen Mean, standard deviation and Amplitude. The Chi-square error value for each date is calculated and then the sum of error is minimized, using iterative scheme to optimize mean, standard deviation and amplitude. The optimized Normal distribution curve, superimposed over daily confirmed cases is given below.


 

Total Confirmed Cases: From optimized result, cumulative confirmed cases are calculated and superimposed over available data of total confirmed cases. It is extrapolated in future till September 2020.


The prediction is tabulated below.

Cases

Date

600000

02-07-2020

700000

07-07-2020

800000

12-07-2020

900000

16-07-2020

1000000

20-07-2020

1500000

08-08-2020

2000000

27-08-2020

 

Conclusion: This is a mathematical exercise and I am finding it difficult to understand, why these numbers for India is not reducing. Hope that we the people of India wake up with some sense to follow the norms, suitable for restriction of confirmed cases.

 

Dr Himanshu Shekhar

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