Nearly matching necessary and sufficient conditions for the local large deviation principle are given via a relaxed Gärtner-Ellis theorem that avoids restrictive integrability assumptions.
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2026 2verdicts
UNVERDICTED 2representative citing papers
Under a uniform convergence condition on the conditional log mgf to an essentially smooth A, the process obeys a uniform conditional local LDP, extendable to finite-dimensional and functional LDPs under extra oscillation controls.
citing papers explorer
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On necessary and sufficient conditions for the local large deviation principle
Nearly matching necessary and sufficient conditions for the local large deviation principle are given via a relaxed Gärtner-Ellis theorem that avoids restrictive integrability assumptions.
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On large deviation principles for general random processes
Under a uniform convergence condition on the conditional log mgf to an essentially smooth A, the process obeys a uniform conditional local LDP, extendable to finite-dimensional and functional LDPs under extra oscillation controls.