(1) Upon discovery that an erroneous or incomplete statement of personal property has been filed by a taxpayer or that all the property of a taxpayer has not been returned for taxation, the property appraiser shall proceed as follows:
(a) If the property is personal property and is discovered before April 1, the property appraiser shall make an assessment in triplicate. After attaching the affidavit and warrant required by law, the property appraiser shall dispose of the additional assessment roll in the same manner as provided by law.
(b) If the property is personal property and is discovered on or after April 1, or is real property discovered at any time, the property shall be added to the assessment roll then in preparation.
(2) If no tangible personal property tax return has been filed as required by law, including any extension which may have been granted for the filing of the return, the property appraiser is authorized to estimate from the best information available the assessment of the tangible personal property of a taxpayer who has not properly and timely filed his or her tax return. Such assessment shall be deemed to be prima facie correct, may be included on the tax roll, and taxes may be extended therefor on the tax roll in the same manner as for all other taxes.