Does having a more successful professor write your letter of recommendation improve your chances of having your application accepted? My question is about academic careers of a professor who would want to write a recommendation letter for someone. Some professors in my university have better academic career than others, for example they would have graduated from better/more well-known/higher ranked universities around the world, better resume/CV, higher GPA in MSc. and PhD, etc.

Question: Does a stronger professor's letter of recommendation raise someone chance for his/her application to be accepted?

Some basic contexts:


Apply in PhD program in computer science
Apply for US universities
Recommendation letters are all about trust: why should the person reading the recommendation letter believe the person who is writing it, when they say that they should place trust in you?
Thus, all else being equal, a professor with better qualifications provides a stronger recommendation.

Other considerations, however, can be more important, as it all boils down to the basic question of trust.  For example:


A little-known professor who knows you well and has worked together with you is a better recommender than a world-famous professor who can only say: "This student was one of 100 who got a good grade in my giant class this year."
A professor with a close colleague in the department where you are applying may be much more trusted in their recommendation than a world-famous professor who nobody in the department knows personally.


Furthermore, you probably will have more than one letter writer, and diversity in your letter-writers can be a virtue: some more prominent, others more in depth, etc.  Thus, you really need to look at this as a whole package, and say: "What is the combination of people who will, as a collective, present the most favorable and trustworthy picture of me to the particular places where I am applying?"