MHB Understanding Positive Asymmetry in Price Distribution

  • Thread starter Thread starter evinda
  • Start date Start date
AI Thread Summary
The discussion centers on the implications of a platycurtic and positively asymmetric price distribution when a minister of commerce sets the maximum product price at the mean value. Participants explore how such a distribution, characterized by shorter tails and a broader peak, affects pricing decisions. The question arises about the extent to which prices will decrease across various products, with options ranging from less than 25% to more than 50%. Clarification is sought on the meaning of "positive asymmetry" and its relevance to the pricing strategy. Understanding these statistical concepts is crucial for accurately predicting price adjustments.
evinda
Gold Member
MHB
Messages
3,741
Reaction score
0
Hello! (Wave)

Suppose that the prices of a product have platycurtic and positive asymmetry. The minister of commerce decides to define maximum value of product equal to the mean value. The minister probably:

- will decrease the price at more than 25% of the products
- will decrease the price at less than 50% of the products
- no of the options that are given
- will decrease the price at less than 75% of the products
- will decrease the price at more than 50% of the productsI have found the following: A distribution with kurtosis <3 (excess kurtosis <0) is called platykurtic. Compared to a normal distribution, its tails are shorter and thinner, and often its central peak is lower and broader.
Could you explain to me how this definition can be applied to the above example? (Thinking)
 
Mathematics news on Phys.org
evinda said:
Hello! (Wave)

Suppose that the prices of a product have platycurtic and positive asymmetry. The minister of commerce decides to define maximum value of product equal to the mean value. The minister probably:

- will decrease the price at more than 25% of the products
- will decrease the price at less than 50% of the products
- no of the options that are given
- will decrease the price at less than 75% of the products
- will decrease the price at more than 50% of the productsI have found the following: A distribution with kurtosis <3 (excess kurtosis <0) is called platykurtic. Compared to a normal distribution, its tails are shorter and thinner, and often its central peak is lower and broader.

Could you explain to me how this definition can be applied to the above example?

Hey evinda!

Regardles of platycurtic, the distribution would still be symmetric, which I think does not help us for the answer.
What does it mean that it has 'positive asymmetry'? 🤔
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Just chatting with my son about Maths and he casually mentioned that 0 would be the midpoint of the number line from -inf to +inf. I wondered whether it wouldn’t be more accurate to say there is no single midpoint. Couldn’t you make an argument that any real number is exactly halfway between -inf and +inf?
Back
Top