The phrase "establish a distribution" is correct and usable in written English.
You can use it when referring to the process of setting up a system for distributing goods, services, or information.
Example: "Our goal is to establish a distribution network that efficiently delivers products to our customers."
Alternatives: "create a distribution" or "set up a distribution."
GORE: Just to start with that example, I think that one of the positive achievements of the corn-ethanol program in the U.S. was to establish a distribution infrastructure that is convertible to second-generation ethanol technologies like insomatic hydrolysis and new feedstocks that don't compete with food crops or the land on which food crops are grown.
Brightpoint distributes in other parts of Asia-Pacific but not in China, because it was unable to establish a distribution system there.
Fiat's stake would initially be 20%, but it could increase, in 5% increments, as it meets three government thresholds: helping Chrysler establish a distribution network outside of North America, building a fuel-efficient engine in a Chrysler U.S. Factory, and building a small car in a U.S. Factory.
This procedure was repeated 1000 times to establish a distribution of P-values to test the null hypothesis.
Gazoo employees spent three months establishing a distribution center for Bookoff based on Toyota's famous production methods.
Mr. Duryea established a distribution system on Long Island and a system of warehouses in Montauk to house the transported lobsters until they could be sent to local restaurants and fish markets.
The quantity U is unknown and continuous measurements V1, V2,..., provide information about U. Then starting from a prior distribution of U, we establish a posterior distribution of U using the measurements V1, V2,.... We then need a distribution of V given U, reflecting the accuracy of the measurements.
These scrambled data were used to establish a null distribution describing the strength of statistical association which could be expected from data with the same marginal distributions (i.e. those arising by chance), in the absence of any spatial information.
