I have an observation and I want to transform it to a normal distribution. I have checked the normality assumption but it didn't attain the normal distribution. I have tried different function to transform it to normal distribution but it didn't work out. here under the Q-Q plot and density plot of the data. Could you suggest me which function can transform my data to a normal distribution? The data is regression coefficients and I want to do genetic parameter estimation on it.
Your plots show a mixture distribution of (a) a point mass at zero (b) a symmetric distribution with light tails at the extremes. If the point mass at zero is genuinely a point mass (all values equal) then you are not going to be able to find a simple way to transform it into a normal distribution.
Two questions arise though. (1) Why do you want it to be normal? What analysis are you proposing which relies on normality. (2) Would it not be scientifically more appropriate to try to find out why the point mass is arising?