"
Voting will begin Monday to decide if veteran leftist Jeremy Corbyn will remain leader of Britain's Labour party John Miller Hat , with an ill-tempered campaign deepening divisions that threaten the party's future.

Ballots and online voting forms were due to be sent to party members, who will have until September 21 to decide whether to replace Corbyn with MP Owen Smith, previously little know outside Westminster.

The 46-year-old triggered the election by declaring his candidacy last month, warning that Corbyn's leadership was making the possibility of a split in the party ""dangerously real"".

Smith, a former member of Corbyn's top team, is also targeting voters to the left of the party, promising a ""socialist revolution"".

""Not some misty-eyed, romantic notion of a revolution where we are going to overthrow capitalism and return to a socialist nirvana... but a cold-eyed, practical socialist revolution where we build a better Britain,"" he said last month.

Corbyn, 67, is favourite to stay as leader, retaining the support of most trade unions and many who signed up last year to propel him to a shock win in the leadership election called following the party's thrashing in the general election.

But he has failed to win over many of the party's MPs, 80 percent of whom backed a recent vote of no-confidence in their leader.

Britain's vote on June 23 to leave the European Union provided the catalyst for the leadership challenge, with many in the party criticising Corbyn's performance during the campaign.

- London mayor slams Corbyn -

At a recent debate, Smith accused the veteran socialist of ""sloganising"" rather than holding the Conservative Party to account, and of failing to campaign hard enough to prevent a vote to leave the EU.

Loud boos, cheers and heckling have characterised many of the debates between the two men while local party meetings have been suspended during the contest due to allegations of intimidation levelled against Corbyn's supporters, exposing the party's growing rift.

Some commentators have warned the outcome could even split the party, which grew out of Britain's trade union movement in the 19th century.

Corbyn has the support of many Labour members, and since February 2015 party membership has surged from 200,000 to 540,000.

He is also backed by Momentum, a mass movement of party members who have turned out in their droves to support him at events around the country in recent days.

However, he received a setback earlier this month when a court ruled that 130,000 new party members who joined in the six months up to July 12 could not vote in the leadership contest.

Labour's London Mayor Sadiq Khan also delivered a blow on Sunday by declaring his support for Smith.

""Jeremy's personal ratings are the worst of any opposition leader on record and the Labour party is suffering badly as a result,"" Khan wrote in the Observer, the Sunday version of the centre-left Guardian newspaper.

""Jeremy has already proved that he is unable to organise an effective team and has failed to win the trust and respect of the British people,"" he added.

Smith appears to be targeting pacifist Corbyn's grassroots base, causing controversy by calling for the British government to ""get round the table"" with the Islamic State group.

The result is to be announced on September 24 during a special congress in Liverpool, northwest England.

" Suppose we want to test the null hypothesis H0 that the data X1, . . . , XN is a sample from some unspecified distribution. Permutation tests are tests of this hypothesis in which the p-value is computed conditional on knowing the set S of data values observed but without knowing which data value corresponds to X1, which corresponds to X2 and so on. For instance, if N = 3 and X1 = 5, X2 = 7, X3 = 2, then the p-value is computed conditional on the information that the set of data values is S = {2, 5, 7}.

P-value makes use of the fact that, conditional on the set of data values S, each of the N! Possible ways of assigning these N values to the original data is equally likely when the null hypothesis is true. That is, suppose that N = 3 and the set of data values is, as in the preceding, S = {2, 5, 7}. Now the null hypothesis H0 states that X1, X2, X3 are independent and identically distributed. Consequently, if H0 is true then, given the data set S, it follows that the vector (X1, X2, and X3) is equally likely to equal any of the 3! permutations of the values 2, 5, 7.

Permutation tests are also useful in the two-sample problems where we test whether samples from two populations have the same underlying distribution. Specifically, let X1, . . . , Xn be a sample from an unknown population distribution F, and let Xn+1, . . . , Xn+m be an independent sample from an unknown population distribution G, and suppose we want to use these data to test the hypothesis that the two population distributions are identical against the alternative hypothesis that data from the second distribution tend to be larger than those from the first. That is, we want to use these data to test the null hypothesis

H0: F = G
, against the alternative
H1: data from G tend to be larger than data from F

If the data values are Xi = xi, i = 1, . . . , n+m, then a permutation test of the preceding null hypothesis is done conditional on knowing S = {x1, . . . , xn+m}, the set of these n + m numbers in no particular order. Then if H0 is true, and so all n + m random variables X1, . . . , Xn+m are independent and identically distributed, then given the set of values S, each subset of size n of this set is equally likely to be the set of the data values of X1, . . . , Xn. Because the alternative . Wholesale Jerseys China   Wholesale Jerseys China   Wholesale Cheap Jerseys   Cheap Jerseys Free Shipping   Cheap College Jerseys Wholesale   Cheap Jerseys   Cheap Jerseys Free Shipping   Wholesale Jerseys   Cheap Basketball Jerseys China   Wholesale Sports Jerseys