I assume you are asking about power rating differences between mass market receivers and power amplifiers.
All receivers have amplifiers and preamps inside of them. This is a way to save space, money, and ease of use for the consumer. Not everyone wants to have a preamplifier/processor and large amplifiers taking up space or money out of their wallets. But you must take into account that anytime you try to bring the cost or size of the performance product it results in lower performance.
Many consumers have heard of a watt, and they know that it is a rating of power. Most people probably aren't sure exactly what a watt is, only that it is a unit of measure that illustrates more or less power.
So imagine you are big, bad Sony. You make stereo receivers that are 50 watts per channel with both channels driven (20hz-20khz[measure of resonance frequency from highest to lowest]). In this day and age when people see 50 watts they don't think it will be adequate for their needs, they want 100 watts or more. Why do the want all those watts, maybe they are sound demons, or maybe they just like telling their friends how powerful their stereo is, who knows?
Well good old Sony has a solution to the consumers problem (greed, vanity, whatever), they change the fashion in how they rate their products to meet the target market's wants. Instead of rating the receiver with two channels driven (20hz-20khz0 they rate it with one channel on a single frequency, which is usually 1khz). Now the power rating is 100 watts per channel (1khz). the consumer has a more powerful receiver, so they think than the guy with the NAD integrated amplifier.
Why don't companies like NAD, Bryston, Rotel, or Krell rate their products this way?, different target market. Audiophiles and techs know about these false type of ratings and many audiophiles won't touch Sony, Yamaha, Onkyo and other brands based on a few factors, they aren't rated fairly and are not expensive enough. Techs know about the ratings as well and still use the products because they are affordable and offer similar performance in many scenarios to the high end stuff (I don't think of myself as an audiophile even though I enjoy music, and a properly calibrated sound system).