United States*
                    Securities and Exchange Commission
                          Washington, D.C. 20549


                               Schedule 13G


                Under the Securities Exchange Act of 1934

                            (Amendment No. 2)*


              Pioneer Municipal High Income Advantage Trust
             ------------------------------------------------
                             (Name of Issuer)


                               Common Stock
                      ------------------------------
                      (Title of Class of Securities)


                                723762100
                              --------------
                              (CUSIP Number)


                              March 31, 2010
                            -----------------
             (Date of Event Which Requires Filing of this Statement)


Check the appropriate box to designate the rule pursuant to which
this Schedule is filed:

       X   Rule 13d-1(b)

           Rule 13d-1(c)

           Rule 13d-1(d)

*The remainder of this cover page shall be filled out for a
reporting person's initial filing on this form with respect to
the subject class of securities, and for any subsequent amendment
containing information which would alter the disclosures provided
in a prior cover page.

The information required in the remainder of this cover page
shall not be deemed to be "filed" for the purpose of Section 18
of the Securities Exchange Act of 1934 ("Act") or otherwise
subject to the liabilities of that section of the Act but shall
be subject to all other provisions of the Act (however, see the
Notes).


CUSIP No.723762100

    1.  Names of Reporting Persons.     First Trust Portfolios L.P.

          I.R.S. Identification Nos. of above persons (entities only).

          36-3768815



    2.  Check the Appropriate Box if a Member of a Group  (See Instructions)

         (a)

         (b)


    3.  SEC Use Only


    4.  Citizenship or Place of Organization      Illinois, U.S.A.


Number of    5.  Sole Voting Power                0
Shares Bene-
ficially     6.  Shared Voting Power              2,290,454
Owned by
Each
Reporting    7.  Sole Dispositive Power           0
Person
With:
             8.  Shared Dispositive Power         2,290,454

    9.  Aggregate Amount Beneficially Owned by Each Reporting Person

        2,290,454

   10.  Check if the Aggregate Amount in Row (9) Excludes
        Certain Shares (See Instructions)

   11.  Percent of Class Represented by Amount in Row (9)      10.0%


   12.  Type of Reporting Person (See Instructions)             BD



CUSIP No. 723762100


    1.  Names of Reporting Persons.     First Trust Advisors L.P.

         I.R.S. Identification Nos. of above persons (entities only).

         36-3788904



    2.   Check  the Appropriate Box if a Member of a Group (See Instructions)

         (a)

         (b)


    3.  SEC Use Only


    4.  Citizenship or Place of Organization      Illinois, U.S.A.


Number of    5.  Sole Voting Power                0
Shares Bene-
ficially     6.  Shared Voting Power              2,290,454
Owned by
Each
Reporting    7.  Sole Dispositive Power           0
Person
With:
             8.  Shared Dispositive Power         2,290,454

     9.  Aggregate Amount Beneficially Owned by Each Reporting Person

         2,290,454

    10.  Check if the Aggregate Amount in Row (9) Excludes
         Certain Shares (See Instructions)

    11.  Percent of Class Represented by Amount in Row (9)      10.0%


    12.  Type of Reporting Person (See Instructions)             IA




CUSIP No. 723762100


    1.   Names of Reporting Persons.     The Charger Corporation

         I.R.S. Identification Nos. of above persons (entities only).

         36-3772451


    2.   Check  the Appropriate Box if a Member of a Group (See Instructions)

         (a)

         (b)


    3.   SEC Use Only


    4.   Citizenship or Place of Organization     Illinois, U.S.A.


Number of    5.  Sole Voting Power                0
Shares Bene-
ficially     6.  Shared Voting Power              2,290,454
Owned by
Each
Reporting    7.  Sole Dispositive Power           0
Person
With:
             8.  Shared Dispositive Power         2,290,454

     9.   Aggregate Amount Beneficially Owned by Each Reporting Person

          2,290,454

    10.   Check if the Aggregate Amount in Row (9) Excludes
          Certain Shares (See Instructions)

    11.   Percent of Class Represented by Amount in Row (9)    10.0%


    12.   Type of Reporting Person (See Instructions)           HC




Item 1.

   (a)  Name of Issuer - Pioneer Municipal High Income Advantage Trust

   (b)  Address of Issuer's Principal Executive Offices

        60 State Street
        Boston, MA 02109


Item 2.

   (a)  Name of Person Filing

        First Trust Portfolios L.P.
        First Trust Advisors L.P.
        The Charger Corporation

   (b)  Address of Principal Business Office or, if none, Residence

        120 East Liberty Drive, Suite 400
        Wheaton, Illinois 60187

   (c)  Citizenship

        Illinois, U.S.A.

   (d)  Title of Class of Securities

        Common Stock

   (e)  CUSIP Number

        723762100


Item 3.   If this statement is filed pursuant to Sec. 240.13d-1(b)
          or 240.13d-2(b) or (c), check whether the person filing is a:

         (a)  X   Broker or dealer registered under section 15 of the
                  Act (15 U.S.C. 78o).

         (b)      Bank as defined in section 3(a)(6) of the Act (15 U.S.C. 78c).

         (c)      Insurance company as defined in section 3(a)(19) of the
                  Act (15 U.S.C. 78c).

         (d)      Investment company registered under section 8 of the
                  Investment Company Act of 1940 (15 U.S.C. 80a-8).

         (e)  X   An investment adviser in accordance with
                  Sec. 240.13d-1(b)(1)(ii)(E).

         (f)      An employee benefit plan or endowment fund in accordance
                  with Sec. 140.13d-1(b)(1)(ii)(F).

         (g)  X   A parent holding company or control person in accordance
                  with Sec. 240.13d-1(b)(1)(ii)(G).

         (h)      A savings association as defined in Section 3(b) of the
                  Federal Deposit Insurance Act (12 U.S.C. 1813).

         (i)      A church plan that is excluded from the definition of an
                  investment company under section 3(c)(14) of the Investment
                  Company Act of 1940 (15 U.S.C. 80a-3).

         (j)      Group, in accordance with Sec. 240.13d- 1(b)1(ii)(J).

Item 4.   Ownership

     Provide  the  following information regarding the  aggregate
number  and  percentage of the class of securities of the  issuer
identified in Item 1.

         (a)   Amount beneficially owned:         2,290,454

         (b)   Percent of class:                  10.0%

         (c)   Number of shares as to which the person has:

               (i)   Sole power to vote or to direct the vote

                     0.

              (ii)   Shared power to vote or to direct the vote

                     2,290,454.

             (iii)   Sole power to dispose or to direct the disposition of

                     0.

              (iv)   Shared power to dispose or to direct the disposition of

                     2,290,454.

     Instruction.  For computations regarding securities which represent a
right to acquire an underlying security see Sec. 204.13d-3(d)(1).


Item 5.   Ownership of Five Percent or Less of a Class

     If  this statement is being filed to report the fact that as
of  the  date hereof the reporting person has ceased  to  be  the
beneficial  owner  of  more than five percent  of  the  class  of
securities, check the following. [ ]

Instruction:  Dissolution of a group requires a response to this item.


Item 6.   Ownership of More than Five Percent on Behalf of Another Person

          First Trust Portfolios L.P. is sponsor of several unit investment
          trusts which hold shares of common stock of the issuer. No unit
          investment trust sponsored by First Trust Portfolios L.P. holds 5% or
          more of the issuer's common stock. First Trust Advisors L.P. is an
          affiliate of First Trust Portfolios L.P. and acts as portfolio
          supervisor of the unit investment trusts which hold shares of common
          stock of the issuer. The Charger Corporation is the general partner of
          both First Trust Portfolios L.P. and First Trust Advisors L.P.


Item 7.   Identification and Classification of the Subsidiary Which Acquired
          the Security Being Reported on By the Parent Holding Company

          See Item 6.


Item 8.   Identification and Classification of Members of the Group

          Not Applicable.


Item 9.   Notice of Dissolution of Group

          Not Applicable.


Item 10.  Certification

          By signing below I certify that, to the best of my knowledge and
          belief, the securities referred to above were acquired and are held in
          the ordinary course of business and were not acquired and are not held
          for the purpose of or with the effect of changing or influencing the
          control of the issuer of the securities and were not acquired and are
          not held in connection with or as a participant in any transaction
          having that purpose or effect.


                            Signature

     After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete
and correct.


                             FIRST TRUST PORTFOLIOS L.P.
                             Date:  April 9, 2010



                             By: /s/ James A. Bowen
                             -------------------------
                             James A. Bowen, President




                             FIRST TRUST ADVISORS L.P.
                             Date:  April 9, 2010



                             By: /s/ James A. Bowen
                             -------------------------
                             James A. Bowen, President





                             THE CHARGER CORPORATION
                             Date:  April 9, 2010



                             By: /s/ James A. Bowen
                             -----------------------------------------
                             James A. Bowen, Senior Vice President