15k views

### Why sum of squared errors for logistic regression not used and instead maximum likelihood estimation is used to fit the model? [duplicate]

I have a doubt on why sum of squared errors is not used for Logistic regression and instead maximum likelihood estimation is used and also why not the vice versa. Edited Many were asking me to ...
8k views

### Least squares logistic regression [duplicate]

I have seen it claimed in Hosmer & Lemeshow (and elsewhere) that least squares parameter estimation in logistic regression is suboptimal (does not lead to a minimum variance unbiased estimator). ...
• 211
3k views

### is cost function of logistic regression convex or not? [duplicate]

For logistic regression, the loss function is convex or not? Andrew Ng of Coursera said it is convex but in NPTEL it is said is said it is non convex because there is no unique solution. (many ...
2k views

### Logistic regression cost surface not convex [duplicate]

I am building a simple logistic regression model on 2D data. Here is the input I use. I built a logistic regression model using this data and it successfully is able to find the discriminating line ...
• 153
1 vote
408 views

### Why can you not estimate Beta with least squares in logistic regression? [duplicate]

As the title says, why can you not estimate Beta (coefficients) in logistic regression with least-squares? I read in a book that it is not possible and that we use maximum likelihood instead, but I ...
935 views

### Why using RMSE as loss function in logistic regression takes non convex form but doesn't in linear regression? [duplicate]

I am taking this deep learning course from Andrew NG. In the 3rd lecture of 2nd week of the first course, he mentions that we can use RMSE for logistic regression as well but it will take a nonconvex ...
• 131
276 views

### Why we do not use least squares in logit model? [duplicate]

I am very wondering why we do not use least squares instead of maximum likelihood? for example we have 3 choices k= 1, 2 ,3 $minimizing: (e^{\beta_{i} X}/(1+\sum e^{\beta_{i} X})- Y)^{2}$ for i=1,...
• 137
1 vote