Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Extension to the Tangent Sequence Martingale Inequality   For each 1 < p < infinity, there exists a positive constant c_p, depending
only on p, such that the following holds. Let (d_k), (e_k) be real-valued
martingale difference sequences. If for for all bounded nonnegative predictable
sequences (s_k) and all positive integers k we have E[s_k vee |e_k|] le E[s_k
vee |d_k|] then for all positive integers n we have || sum_{k=1}^n e_k ||_p le
c_p || \sum_{k=1}^n d_k ||_p .

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The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
9
The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc