Intro to Statistical Learning (2nd Ed), Solution to Problem 10.3c

10.3C: Show that the negative multinomial log-likelihood (10.14) −∑i=1n∑m=09yimlog(fm(xi)) is equivalent to the negative log of the likelihood expression (4.5) 𝓵(β0,β1)=∏i:yi=1p(xi)∏i′:yi′=0(1−p(xi′)) when there are M=2 classes. Download Book: https://www.statlearning.com/ Authors' Lectures (R): https://youtube.com/playlist?list=PLoROMvodv4rOzrYsAxzQyHb8n_RWNuS1e&si=NP0wJ6RjP8XkxU7y Authors' Lectures (Python): https://youtube.com/playlist?list=PLoROMvodv4rPP6braWoRt5UCXYZ71GZIQ&si=0Z8tx4xlPLEyjZ70 https://colab.research.google.com/drive/16rgV6bj457Vlb7OgQsLPWT8p7REFVKUM?usp=sharing