Two Days Workshop on Python Programming in Astronomy, Astrophysics & Cosmology

Organized by Department of Applied Science, G H Raisoni College of Engineering, GHRCE, Nagpur

Funded by Inter-University Centre for Astronomy and Astrophysics (IUCAA)

I was among the invited speakers, along with Prof S. N. Hasan and Prof Priya Hasan, and in this repository, I have included all the files, including the data file and Python notebook, that were covered in two lecture sessions and four hands-on sessions by me.

Day-1. April 07th 2023; 🔗

• Lecture-1

  • Introduction to Statistics
  • Maximum Likelihood Estimator (MLE)
  • Minimum Chi-square Test

• Hands-on Session-1

  • Linear Model Fitting with Mock Data Using Basic Code: A Tutorial
  • Linear Model Fitting with Mock Data Using lmfit

• Hands-on Session-2

  • Flat $\Lambda CDM$ Model fitting with Hubble Parameter Measurements using lmfit

• Exercise-1

  • Estimate the value of $\pi$ using Monte Carlo simulation, by considering a sphere inscribed inside a cube.

Day-2. April 08th 2023; 🔗

• Lecture-2

  • Bayesian Statistics
  • Monte Carlo
  • Markov Chain Monte Carlo
  • Metropolis-Hastings Algorithm

• Hands-on Session-3

  • $\pi$ Value Estimation using Monte Carlo
  • Integration Evaluation using Monte Carlo

• Hands-on Session-4

  • Flat $\Lambda CDM$ Model fitting with Hubble Parameter Measurements using Metropolis-Hastings Algorithm
  • Non-Flat $\Lambda CDM$ Model fitting with Hubble Parameter Measurements using Metropolis-Hastings Algorithm

• Exercise-2

  • Fit $\omega CDM$ Model with Hubble Parameter Measurements and compare your results with arXiv:2209.05782

References for Further Reading

• Basics of Statistics

  • Introduction To Error Analysis by J. R. Taylor 🔗
  • Data analysis: a Bayesian tutorial by Devinderjit Sivia and John Skilling 🔗
  • Data Reduction and Error Analysis for the Physical Sciences by P. R. Bevington and D. K. Robinson 🔗

• Statistical Cosmology

  • Statistical methods in cosmology by L. Verde 🔗
  • Statistical methods for cosmological parameter selection and estimation by A. R. Liddle 🔗
  • Bayesian Methods in Cosmology by R. Trotta 🔗

Contact Email: darshanbeniwal11@gmail.com

Copyright

© Darshan Kumar Beniwal, University of Delhi, 2023, Presented at Department of Applied Science, G H Raisoni College of Engineering, Nagpur.